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 A366052 Expansion of (1/x) * Series_Reversion( x*(1-x)^3/(1-x+x^3) ). 6
 1, 2, 7, 31, 154, 819, 4559, 26226, 154664, 930040, 5680920, 35150493, 219850505, 1387717660, 8828668582, 56553846890, 364449091112, 2361118198094, 15369247139879, 100468188756849, 659271433474584, 4341140182940382, 28675590236716905 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..22. FORMULA a(n) = (1/(n+1)) * Sum_{k=0..floor(n/3)} binomial(n+1,k) * binomial(3*n-2*k+1,n-3*k). PROG (PARI) a(n) = sum(k=0, n\3, binomial(n+1, k)*binomial(3*n-2*k+1, n-3*k))/(n+1); CROSSREFS Cf. A049128, A114997, A366051, A366053. Sequence in context: A369265 A369297 A256672 * A368931 A007863 A369214 Adjacent sequences: A366049 A366050 A366051 * A366053 A366054 A366055 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 27 2023 STATUS approved

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Last modified July 13 06:34 EDT 2024. Contains 374267 sequences. (Running on oeis4.)