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 A364523 G.f. satisfies A(x) = 1 + x*A(x) + x^6*A(x)^6. 6
 1, 1, 1, 1, 1, 1, 2, 8, 29, 85, 211, 463, 931, 1795, 3550, 7736, 18929, 49505, 130000, 330430, 804271, 1885675, 4327555, 9929515, 23224435, 55907251, 138016906, 345107296, 862546231, 2136402451, 5231163232, 12697101118, 30723857209, 74569942745 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..1000 FORMULA a(n) = Sum_{k=0..floor(n/6)} binomial(n,6*k) * binomial(6*k,k) / (5*k+1). PROG (PARI) a(n) = sum(k=0, n\6, binomial(n, 6*k)*binomial(6*k, k)/(5*k+1)); CROSSREFS Cf. A001006, A071879, A127902, A364522. Cf. A349312, A364472. Sequence in context: A241627 A293169 A306847 * A107025 A212385 A333882 Adjacent sequences: A364520 A364521 A364522 * A364524 A364525 A364526 KEYWORD nonn AUTHOR Seiichi Manyama, Jul 27 2023 STATUS approved

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Last modified February 29 23:21 EST 2024. Contains 370428 sequences. (Running on oeis4.)