This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A106362 #7 Mar 30 2012 17:37:15 %S A106362 1,1,1,2,4,10,28,77,221,650,1951,5920,18211,56509,176919,557786, %T A106362 1769966,5647568,18110734,58335561,188658338,612337013,1994058293, %U A106362 6513153445,21332562178,70048092196,230550762108,760462920317 %N A106362 Number of rooted planar trees in which no branch is identical to its adjacent neighbor. %H A106362 <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a> %F A106362 G.f.: x+x*B(x) where B(x) is g.f. of CycleBG transform of A106361. %F A106362 CycleBG transform T(A) = invMOEBIUS(invEULER(Carlitz(A)) + A(x^2) - A) + A. %F A106362 Carlitz transform T(A(x)) has g.f. 1/(1-sum(k>0, (-1)^(k+1)*A(x^k))). %Y A106362 Cf. A003239, A106363. %K A106362 nonn %O A106362 1,4 %A A106362 _Christian G. Bower_, Apr 29 2005