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 A365226 G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 + x*A(x)^6). 3
 1, 1, 4, 20, 107, 577, 3010, 14429, 56640, 98020, -1297568, -21901213, -232421636, -2081040375, -16862259358, -126674303915, -887771735205, -5768588276072, -33971373570320, -170393703586467, -576946353425125, 1101490168511323, 47657979846612682 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..22. FORMULA a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(6*n-k+1,k) * binomial(n-1,n-k)/(6*n-k+1). PROG (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(6*n-k+1, k)*binomial(n-1, n-k)/(6*n-k+1)); CROSSREFS Cf. A002293, A271469, A349361, A364759, A364866, A365225. Cf. A365218. Sequence in context: A190724 A243585 A359712 * A263965 A265084 A321111 Adjacent sequences: A365223 A365224 A365225 * A365227 A365228 A365229 KEYWORD sign AUTHOR Seiichi Manyama, Aug 27 2023 STATUS approved

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Last modified September 8 17:43 EDT 2024. Contains 375753 sequences. (Running on oeis4.)