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Search: id:A106362
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A106362 Number of rooted planar trees in which no branch is identical to its adjacent neighbor. +0
3
1, 1, 1, 2, 4, 10, 28, 77, 221, 650, 1951, 5920, 18211, 56509, 176919, 557786, 1769966, 5647568, 18110734, 58335561, 188658338, 612337013, 1994058293, 6513153445, 21332562178, 70048092196, 230550762108, 760462920317 (list; graph; listen)
OFFSET

1,4

LINKS

Index entries for sequences related to rooted trees

FORMULA

G.f.: x+x*B(x) where B(x) is g.f. of CycleBG transform of A106361.

CycleBG transform T(A) = invMOEBIUS(invEULER(Carlitz(A)) + A(x^2) - A) + A.

Carlitz transform T(A(x)) has g.f. 1/(1-sum(k>0, (-1)^(k+1)*A(x^k))).

CROSSREFS

Cf. A003239, A106363.

Sequence in context: A048193 A123411 A128933 this_sequence A148109 A099216 A149819

Adjacent sequences: A106359 A106360 A106361 this_sequence A106363 A106364 A106365

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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