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 A365760 G.f. satisfies A(x) = 1 + x*A(x)*(1 + x^4*A(x)^5). 4
 1, 1, 1, 1, 1, 2, 8, 29, 85, 211, 469, 1003, 2263, 5734, 15926, 45188, 124730, 330583, 850783, 2175406, 5650746, 15064128, 41006034, 112492472, 307511726, 833907512, 2247908392, 6056190352, 16390505332, 44659671982, 122380777306, 336326321179, 924529751087 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Table of n, a(n) for n=0..32. FORMULA a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k,k) * binomial(n+k+1,n-4*k) / (n+k+1) = Sum_{k=0..floor(n/5)} binomial(n+k,6*k) * binomial(6*k,k) / (5*k+1). PROG (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k, k)*binomial(n+k+1, n-4*k)/(n+k+1)); CROSSREFS Cf. A364472, A364523, A365759, A365761. Cf. A365758. Sequence in context: A107025 A212385 A333882 * A365758 A365759 A365757 Adjacent sequences: A365757 A365758 A365759 * A365761 A365762 A365763 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 18 2023 STATUS approved

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Last modified February 26 10:32 EST 2024. Contains 370346 sequences. (Running on oeis4.)