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 A106362 Number of rooted planar trees in which no branch is identical to its adjacent neighbor. 2
 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; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS 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: A128933 A173781 A340825 * A271896 A148109 A099216 Adjacent sequences:  A106359 A106360 A106361 * A106363 A106364 A106365 KEYWORD nonn AUTHOR Christian G. Bower, Apr 29 2005 STATUS approved

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Last modified May 23 11:27 EDT 2022. Contains 353975 sequences. (Running on oeis4.)