Several Examples of Complete Left Descent Assemblies

This shows the first 42 left descent assemblies in order of magnitude of the header element.  Note the varying sizes of the assemblies and the varying stepsizes between instances of instantiations among the various elements of the various assemblies.  The descent to 27 is included under its extension,  445.

There is some annotation at the bottom of the listing.

 1 2^ 3*3^ 2*n+         5 is x 1 of est       5,  77,  149,  221,  293,  ...
   2^ 4*3^ 1*n+         3 is x 2 of est       3,  51,  99,  147,  195,  ...
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 6 2^ 3*3^ 5*n+        13 is x 1 of ebssbt    13,  1957,  3901,  5845,  7789,  ...
   2^ 5*3^ 4*n+        17 is x 2 of ebssbt    17,  2609,  5201,  7793,  10385,  ...
   2^ 6*3^ 3*n+        11 is x 3 of ebssbt    11,  1739,  3469,  5195,  6923,  ...
   2^ 7*3^ 2*n+         7 is x 4 of ebssbt    7,  1159,  2311,  3463,  4615,  ...
   2^ 9*3^ 1*n+         9 is x 5 of ebssbt    9,  1545,  3081,  4617,  6153,  ...
-----------------------------------------------------
 0 2^ 3*3^ 1*n+        21 is x 1 of et        21,  45,  69,  93,  117,  ...
-----------------------------------------------------
 5 2^ 3*3^ 4*n+        29 is x 1 of esbbt     29,  677,  1325,  1973,  2621,  ...
   2^ 4*3^ 3*n+        19 is x 2 of esbbt     19,  451,  883,  1315,  1747,  ...
   2^ 6*3^ 2*n+        25 is x 3 of esbbt     25,  601,  1177,  1753,  2329,  ...
   2^ 8*3^ 1*n+        33 is x 4 of esbbt     33,  801,  1569,  2337,  3105,  ...
-----------------------------------------------------
 7 2^ 3*3^ 5*n+        37 is x 1 of ebbsbt    37,  1981,  3925,  5869,  7813,  ...
   2^ 5*3^ 4*n+        49 is x 2 of ebbsbt    49,  2641,  5233,  7825,  10417,  ...
   2^ 7*3^ 3*n+        65 is x 3 of ebbsbt    65,  1217,  2369,  3521,  4673,  ...
   2^ 8*3^ 2*n+        43 is x 4 of ebbsbt    43,  2347,  4651,  6955,  9259,  ...
   2^10*3^ 1*n+        57 is x 5 of ebbsbt    57,  3129,  6201,  9273,  12345,  ...
-----------------------------------------------------
 3 2^ 3*3^ 4*n+        53 is x 1 of essst     53,  701,  1349,  1997,  2645,  ...
   2^ 4*3^ 3*n+        35 is x 2 of essst     35,  467,  899,  1331,  1763,  ...
   2^ 5*3^ 2*n+        23 is x 3 of essst     23,  311,  599,  887,  1175,  ...
   2^ 6*3^ 1*n+        15 is x 4 of essst     15,  207,  399,  591,  783,  ...
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 2 2^ 3*3^ 2*n+        61 is x 1 of ebt
   2^ 5*3^ 1*n+        81 is x 2 of ebt
-----------------------------------------------------
 3 2^ 3*3^ 3*n+        85 is x 1 of ebst
   2^ 5*3^ 2*n+       113 is x 2 of ebst
   2^ 6*3^ 1*n+        75 is x 3 of ebst
-----------------------------------------------------
 5 2^ 3*3^ 5*n+       101 is x 1 of esbsst
   2^ 4*3^ 4*n+        67 is x 2 of esbsst
   2^ 6*3^ 3*n+        89 is x 3 of esbsst
   2^ 7*3^ 2*n+        59 is x 4 of esbsst
   2^ 8*3^ 1*n+        39 is x 5 of esbsst
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 7 2^ 3*3^ 5*n+       109 is x 1 of ebbbst
   2^ 5*3^ 4*n+       145 is x 2 of ebbbst
   2^ 7*3^ 3*n+       193 is x 3 of ebbbst
   2^ 9*3^ 2*n+       257 is x 4 of ebbbst
   2^10*3^ 1*n+       171 is x 5 of ebbbst
-----------------------------------------------------
 8 2^ 3*3^ 6*n+       125 is x 1 of essbbbt
   2^ 4*3^ 5*n+        83 is x 2 of essbbbt
   2^ 5*3^ 4*n+        55 is x 3 of essbbbt
   2^ 7*3^ 3*n+        73 is x 4 of essbbbt
   2^ 9*3^ 2*n+        97 is x 5 of essbbbt
   2^11*3^ 1*n+       129 is x 6 of essbbbt
-----------------------------------------------------
 6 2^ 3*3^ 5*n+       157 is x 1 of ebsbst
   2^ 5*3^ 4*n+       209 is x 2 of ebsbst
   2^ 6*3^ 3*n+       139 is x 3 of ebsbst
   2^ 8*3^ 2*n+       185 is x 4 of ebsbst
   2^ 9*3^ 1*n+       123 is x 5 of ebsbst
-----------------------------------------------------
 3 2^ 3*3^ 3*n+       173 is x 1 of esbt
   2^ 4*3^ 2*n+       115 is x 2 of esbt
   2^ 6*3^ 1*n+       153 is x 3 of esbt
-----------------------------------------------------
 4 2^ 3*3^ 3*n+       181 is x 1 of ebbt
   2^ 5*3^ 2*n+       241 is x 2 of ebbt
   2^ 7*3^ 1*n+       321 is x 3 of ebbt
-----------------------------------------------------
 2 2^ 3*3^ 3*n+       197 is x 1 of esst
   2^ 4*3^ 2*n+       131 is x 2 of esst
   2^ 5*3^ 1*n+        87 is x 3 of esst
-----------------------------------------------------
 4 2^ 3*3^ 4*n+       229 is x 1 of ebsst
   2^ 5*3^ 3*n+       305 is x 2 of ebsst
   2^ 6*3^ 2*n+       203 is x 3 of ebsst
   2^ 7*3^ 1*n+       135 is x 4 of ebsst
-----------------------------------------------------
 9 2^ 3*3^ 6*n+       245 is x 1 of esbbbbt
   2^ 4*3^ 5*n+       163 is x 2 of esbbbbt
   2^ 6*3^ 4*n+       217 is x 3 of esbbbbt
   2^ 8*3^ 3*n+       289 is x 4 of esbbbbt
   2^10*3^ 2*n+       385 is x 5 of esbbbbt
   2^12*3^ 1*n+       513 is x 6 of esbbbbt
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15 2^ 3*3^10*n+       253 is x 1 of ebbssbbsbbt
   2^ 5*3^ 9*n+       337 is x 2 of ebbssbbsbbt
   2^ 7*3^ 8*n+       449 is x 3 of ebbssbbsbbt
   2^ 8*3^ 7*n+       299 is x 4 of ebbssbbsbbt
   2^ 9*3^ 6*n+       199 is x 5 of ebbssbbsbbt
   2^11*3^ 5*n+       265 is x 6 of ebbssbbsbbt
   2^13*3^ 4*n+       353 is x 7 of ebbssbbsbbt
   2^14*3^ 3*n+       235 is x 8 of ebbssbbsbbt
   2^16*3^ 2*n+       313 is x 9 of ebbssbbsbbt
   2^18*3^ 1*n+       417 is x10 of ebbssbbsbbt
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 5 2^ 3*3^ 5*n+       269 is x 1 of esssbt
   2^ 4*3^ 4*n+       179 is x 2 of esssbt
   2^ 5*3^ 3*n+       119 is x 3 of esssbt
   2^ 6*3^ 2*n+        79 is x 4 of esssbt
   2^ 8*3^ 1*n+       105 is x 5 of esssbt
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 6 2^ 3*3^ 5*n+       317 is x 1 of esbsbt
   2^ 4*3^ 4*n+       211 is x 2 of esbsbt
   2^ 6*3^ 3*n+       281 is x 3 of esbsbt
   2^ 7*3^ 2*n+       187 is x 4 of esbsbt
   2^ 9*3^ 1*n+       249 is x 5 of esbsbt
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11 2^ 3*3^ 8*n+       325 is x 1 of ebbbbssst
   2^ 5*3^ 7*n+       433 is x 2 of ebbbbssst
   2^ 7*3^ 6*n+       577 is x 3 of ebbbbssst
   2^ 9*3^ 5*n+       769 is x 4 of ebbbbssst
   2^11*3^ 4*n+      1025 is x 5 of ebbbbssst
   2^12*3^ 3*n+       683 is x 6 of ebbbbssst
   2^13*3^ 2*n+       455 is x 7 of ebbbbssst
   2^14*3^ 1*n+       303 is x 8 of ebbbbssst
-----------------------------------------------------
 4 2^ 3*3^ 4*n+       341 is x 1 of essbt
   2^ 4*3^ 3*n+       227 is x 2 of essbt
   2^ 5*3^ 2*n+       151 is x 3 of essbt
   2^ 7*3^ 1*n+       201 is x 4 of essbt
-----------------------------------------------------
 5 2^ 3*3^ 4*n+       373 is x 1 of ebsbt
   2^ 5*3^ 3*n+       497 is x 2 of ebsbt
   2^ 6*3^ 2*n+       331 is x 3 of ebsbt
   2^ 8*3^ 1*n+       441 is x 4 of ebsbt
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23 2^ 3*3^18*n+       445 is x 1 of ebsssbssbsbbssssbst
   2^ 5*3^17*n+       593 is x 2 of ebsssbssbsbbssssbst
   2^ 6*3^16*n+       395 is x 3 of ebsssbssbsbbssssbst
   2^ 7*3^15*n+       263 is x 4 of ebsssbssbsbbssssbst
   2^ 8*3^14*n+       175 is x 5 of ebsssbssbsbbssssbst
   2^10*3^13*n+       233 is x 6 of ebsssbssbsbbssssbst
   2^11*3^12*n+       155 is x 7 of ebsssbssbsbbssssbst
   2^12*3^11*n+       103 is x 8 of ebsssbssbsbbssssbst
   2^14*3^10*n+       137 is x 9 of ebsssbssbsbbssssbst
   2^15*3^ 9*n+        91 is x10 of ebsssbssbsbbssssbst
   2^17*3^ 8*n+       121 is x11 of ebsssbssbsbbssssbst
   2^19*3^ 7*n+       161 is x12 of ebsssbssbsbbssssbst
   2^20*3^ 6*n+       107 is x13 of ebsssbssbsbbssssbst
   2^21*3^ 5*n+        71 is x14 of ebsssbssbsbbssssbst
   2^22*3^ 4*n+        47 is x15 of ebsssbssbsbbssssbst
   2^23*3^ 3*n+        31 is x16 of ebsssbssbsbbssssbst
   2^25*3^ 2*n+        41 is x17 of ebsssbssbsbbssssbst
   2^26*3^ 1*n+        27 is x18 of ebsssbssbsbbssssbst
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 6 2^ 3*3^ 5*n+       461 is x 1 of esbbst
   2^ 4*3^ 4*n+       307 is x 2 of esbbst
   2^ 6*3^ 3*n+       409 is x 3 of esbbst
   2^ 8*3^ 2*n+       545 is x 4 of esbbst
   2^ 9*3^ 1*n+       363 is x 5 of esbbst
-----------------------------------------------------
 5 2^ 3*3^ 4*n+       469 is x 1 of ebbst
   2^ 5*3^ 3*n+       625 is x 2 of ebbst
   2^ 7*3^ 2*n+       833 is x 3 of ebbst
   2^ 8*3^ 1*n+       555 is x 4 of ebbst
-----------------------------------------------------
 5 2^ 3*3^ 6*n+       485 is x 1 of essssst
   2^ 4*3^ 5*n+       323 is x 2 of essssst
   2^ 5*3^ 4*n+       215 is x 3 of essssst
   2^ 6*3^ 3*n+       143 is x 4 of essssst
   2^ 7*3^ 2*n+        95 is x 5 of essssst
   2^ 8*3^ 1*n+        63 is x 6 of essssst
-----------------------------------------------------
 4 2^ 3*3^ 4*n+       533 is x 1 of esbst
   2^ 4*3^ 3*n+       355 is x 2 of esbst
   2^ 6*3^ 2*n+       473 is x 3 of esbst
   2^ 7*3^ 1*n+       315 is x 4 of esbst
-----------------------------------------------------
 6 2^ 3*3^ 4*n+       541 is x 1 of ebbbt
   2^ 5*3^ 3*n+       721 is x 2 of ebbbt
   2^ 7*3^ 2*n+       961 is x 3 of ebbbt
   2^ 9*3^ 1*n+      1281 is x 4 of ebbbt
-----------------------------------------------------
 5 2^ 3*3^ 5*n+       557 is x 1 of essbst
   2^ 4*3^ 4*n+       371 is x 2 of essbst
   2^ 5*3^ 3*n+       247 is x 3 of essbst
   2^ 7*3^ 2*n+       329 is x 4 of essbst
   2^ 8*3^ 1*n+       219 is x 5 of essbst
-----------------------------------------------------
10 2^ 3*3^ 7*n+       589 is x 1 of ebsbbsbt
   2^ 5*3^ 6*n+       785 is x 2 of ebsbbsbt
   2^ 6*3^ 5*n+       523 is x 3 of ebsbbsbt
   2^ 8*3^ 4*n+       697 is x 4 of ebsbbsbt
   2^10*3^ 3*n+       929 is x 5 of ebsbbsbt
   2^11*3^ 2*n+       619 is x 6 of ebsbbsbt
   2^13*3^ 1*n+       825 is x 7 of ebsbbsbt
-----------------------------------------------------
 8 2^ 3*3^ 7*n+       661 is x 1 of ebssbsst
   2^ 5*3^ 6*n+       881 is x 2 of ebssbsst
   2^ 6*3^ 5*n+       587 is x 3 of ebssbsst
   2^ 7*3^ 4*n+       391 is x 4 of ebssbsst
   2^ 9*3^ 3*n+       521 is x 5 of ebssbsst
   2^10*3^ 2*n+       347 is x 6 of ebssbsst
   2^11*3^ 1*n+       231 is x 7 of ebssbsst
-----------------------------------------------------
14 2^ 3*3^ 9*n+       685 is x 1 of ebbsbbbbst
   2^ 5*3^ 8*n+       913 is x 2 of ebbsbbbbst
   2^ 7*3^ 7*n+      1217 is x 3 of ebbsbbbbst
   2^ 8*3^ 6*n+       811 is x 4 of ebbsbbbbst
   2^10*3^ 5*n+      1081 is x 5 of ebbsbbbbst
   2^12*3^ 4*n+      1441 is x 6 of ebbsbbbbst
   2^14*3^ 3*n+      1921 is x 7 of ebbsbbbbst
   2^16*3^ 2*n+      2561 is x 8 of ebbsbbbbst
   2^17*3^ 1*n+      1707 is x 9 of ebbsbbbbst
-----------------------------------------------------
 7 2^ 3*3^ 6*n+       749 is x 1 of esbssbt
   2^ 4*3^ 5*n+       499 is x 2 of esbssbt
   2^ 6*3^ 4*n+       665 is x 3 of esbssbt
   2^ 7*3^ 3*n+       443 is x 4 of esbssbt
   2^ 8*3^ 2*n+       295 is x 5 of esbssbt
   2^10*3^ 1*n+       393 is x 6 of esbssbt
-----------------------------------------------------
 9 2^ 3*3^ 6*n+       757 is x 1 of ebbbsbt
   2^ 5*3^ 5*n+      1009 is x 2 of ebbbsbt
   2^ 7*3^ 4*n+      1345 is x 3 of ebbbsbt
   2^ 9*3^ 3*n+      1793 is x 4 of ebbbsbt
   2^10*3^ 2*n+      1195 is x 5 of ebbbsbt
   2^12*3^ 1*n+      1593 is x 6 of ebbbsbt
-----------------------------------------------------
 6 2^ 3*3^ 5*n+       773 is x 1 of essbbt
   2^ 4*3^ 4*n+       515 is x 2 of essbbt
   2^ 5*3^ 3*n+       343 is x 3 of essbbt
   2^ 7*3^ 2*n+       457 is x 4 of essbbt
   2^ 9*3^ 1*n+       609 is x 5 of essbbt
-----------------------------------------------------
 7 2^ 3*3^  *n+       805 is x 1 of ebsbsst
   2^ 5*3^ 5*n+      1073 is x 2 of ebsbsst
   2^ 6*3^ 4*n+       715 is x 3 of ebsbsst
   2^ 8*3^ 3*n+       953 is x 4 of ebsbsst
   2^ 9*3^ 2*n+       635 is x 5 of ebsbsst
   2^10*3^ 1*n+       423 is x 6 of ebsbsst
-----------------------------------------------------
 8 2^ 3*3^ 6*n+       893 is x 1 of esbbbst
   2^ 4*3^ 5*n+       595 is x 2 of esbbbst
   2^ 6*3^ 4*n+       793 is x 3 of esbbbst
   2^ 8*3^ 3*n+      1057 is x 4 of esbbbst
   2^10*3^ 2*n+      1409 is x 5 of esbbbst
   2^11*3^ 1*n+       939 is x 6 of esbbbst
-----------------------------------------------------
 6 2^ 3*3^ 5*n+       901 is x 1 of ebbsst
   2^ 5*3^ 4*n+      1201 is x 2 of ebbsst
   2^ 7*3^ 3*n+      1601 is x 3 of ebbsst
   2^ 8*3^ 2*n+      1067 is x 4 of ebbsst
   2^ 9*3^ 1*n+       711 is x 5 of ebbsst
-----------------------------------------------------
19 2^ 3*3^13*n+       917 is x 1 of esssbbbsbsbbbt
   2^ 4*3^12*n+       611 is x 2 of esssbbbsbsbbbt
   2^ 5*3^11*n+       407 is x 3 of esssbbbsbsbbbt
   2^ 6*3^10*n+       271 is x 4 of esssbbbsbsbbbt
   2^ 8*3^ 9*n+       361 is x 5 of esssbbbsbsbbbt
   2^10*3^ 8*n+       481 is x 6 of esssbbbsbsbbbt
   2^12*3^ 7*n+       641 is x 7 of esssbbbsbsbbbt
   2^13*3^ 6*n+       427 is x 8 of esssbbbsbsbbbt
   2^15*3^ 5*n+       569 is x 9 of esssbbbsbsbbbt
   2^16*3^ 4*n+       379 is x10 of esssbbbsbsbbbt
   2^18*3^ 3*n+       505 is x11 of esssbbbsbsbbbt
   2^20*3^ 2*n+       673 is x12 of esssbbbsbsbbbt
   2^22*3^ 1*n+       897 is x13 of esssbbbsbsbbbt
-----------------------------------------------------
 7 2^ 3*3^ 6*n+       965 is x 1 of esbsbst
   2^ 4*3^ 5*n+       643 is x 2 of esbsbst
   2^ 6*3^ 4*n+       857 is x 3 of esbsbst
   2^ 7*3^ 3*n+       571 is x 4 of esbsbst
   2^ 9*3^ 2*n+       761 is x 5 of esbsbst
   2^10*3^ 1*n+       507 is x 6 of esbsbst
-----------------------------------------------------
14 2^ 3*3^ 9*n+       973 is x 1 of ebbbbbsbst
   2^ 5*3^ 8*n+      1297 is x 2 of ebbbbbsbst
   2^ 7*3^ 7*n+      1729 is x 3 of ebbbbbsbst
   2^ 9*3^ 6*n+      2305 is x 4 of ebbbbbsbst
   2^11*3^ 5*n+      3073 is x 5 of ebbbbbsbst
   2^13*3^ 4*n+      4097 is x 6 of ebbbbbsbst
   2^14*3^ 3*n+      2731 is x 7 of ebbbbbsbst
   2^16*3^ 2*n+      3641 is x 8 of ebbbbbsbst
   2^17*3^ 1*n+      2427 is x 9 of ebbbbbsbst

This is another selection from the output of one version of the treegrow program.

It was obtained by selecting all the records involved with the first left descent assembly,  then the second,  then the third,  and so on up through the 42nd one.  The fields are those of another selection from this output file,  but the entries in the first field have mostly been eliminated (they're all the same in any given assembly),  and the elements of each assembly are set off from the others by a line.  The fifth field (columns 31-32)  contains the subscript of the left descent element described by the given formula. 

Again,  the first six assemblies exhibit five instantiations of the indicated l.d.a. element.  That is, the first five integers sieved by each expression (using n=0..4) for the extension element of the left descent assembly have been developed


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