%I A080263
%S A080263 2,50,906,247986,4072138,1059204274,272900475786,17953590946285746,
%T A080263 287705670922216138,73724537815637830834,18880972926031430339466,
%U A080263 1237678872789190922262530226,316876593058175709191975346890
%N A080263 A014486-encoding of the branch-reduced binomial-mod-2 binary trees.
%C A080263 These trees are obtained from the successive generations of Rule 90 cellular 
               automaton (A070886) or the Pascal's triangle computed modulo 2 (A047999), 
               with alive cells of the automaton (respectively: the odd binomials) 
               forming the vertices of the zigzag tree.
%D A080263 J.C.P. Miller, Periodic Forests of Stunted Trees, Phil. Tran. Roy. Soc. 
               London A266 (1970) 63; A293 (1980) 48.
%H A080263 A. Karttunen, <a href="a080263.pdf">Initial terms illustrated</a>
%Y A080263 Same sequence in binary: A080264. Cf. A080265. Breadth-first-wise encodings 
               of the same trees: A080268. Corresponding branch-reduced zigzag trees: 
               A080293.
%Y A080263 Number of edges in general trees/internal nodes in binary trees: A006046, 
               number of zigzag-edges (those colored black in illustrations) is 
               one less: A074330. Cf. A080978.
%Y A080263 Sequence in context: A080299 A083939 A083941 this_sequence A088920 A079198 
               A080293
%Y A080263 Adjacent sequences: A080260 A080261 A080262 this_sequence A080264 A080265 
               A080266
%K A080263 nonn
%O A080263 0,1
%A A080263 Antti Karttunen (my_firstname.my_surname(AT)iki.fi), Mar 02 2003