The table entries are developed only through three levels of growth,
corresponding to the depth in <a href="fig4.html">Figure 4</a>.  The
prefixed <I>e</I> is included in the set names to indicate that the
envisioned root is a member of the <U>e</U>xtended set of parents of
left descents.  An <I>sss</I> sequence not rooted in the <I>e</I> set
will be a set (16<I>n</I>+15) containing 4 times the number of elements
as the anchored set developed here for the <I>esss</I> sequence
(64<I>n</I>+15).  Each <i>dn</i>+<i>c</i> formula denotes the set of odd
integers congruent to <i>c</i> mod <i>d</i>.

<pre>
                 Allowed     Applied                   Resulting Terminating
 From    Subset   Move      Transform          Result  Set Name  Set Names
   e     24n+5      s     (2(24n+5)-1)/3       16n+3      es
         24n+13     b     (4(24n+13)-1)/3      32n+17     eb
         24n+21   null                                               et
  es     48n+3    null                                               est
         48n+19     b     (4(48n+19)-1)/3      64n+25     esb
         48n+35     s     (2(48n+35)-1)/3      32n+23     ess
  eb     96n+17     s     (2(96n+17)-1)/3      64n+11     ebs
         96n+49     b     (4(96n+49)-1)/3     128n+65     ebb
         96n+81   null                                               ebt
  esb   192n+25     b     (4(192n+25)-1)/3    768n+33    esbb
        192n+89     s     (2(192n+89)-1)/3    384n+59    esbs
        192n+153  null                                               esbt
  ess    96n+23     s     (2(96n+23)-1)/3      64n+15    esss
         96n+55     b     (4(96n+55)-1)/3     128n+73    essb
         96n+87   null                                               esst
  ebs   192n+11     s     (2(192n+11)-1)/3    128n+7     ebss
        192n+75   null                                               ebst
        192n+139    b     (4(192n+139)-1)/3   256n+185   ebsb
  ebb   384n+65     s     (2(384n+65)-1)/3    256n+43    ebbs
        384n+193    b     (4(384n+193)-1)/3   512n+257   ebbb
        384n+321  null                                               ebbt
</pre><B><I><P>Figure 5:  Stepwise Development of Abstract Generation Tree Rooted in Extended Parents , Showing Set Contents</P>
</B></I><P>
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