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 A365765 Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1+x) ). 3
 1, 5, 39, 365, 3772, 41491, 476410, 5644477, 68493324, 846937140, 10633195119, 135185288475, 1736883987836, 22516798984946, 294169295918996, 3869084306851933, 51189853304834940, 680816769653570044, 9097058255214149068, 122064057533865334100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..865 FORMULA a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(n+1,k) * binomial(5*n-k+3,n-k) = (1/(n+1)) * Sum_{k=0..n} binomial(4*n+k+3,k) * binomial(n+1,n-k). PROG (PARI) a(n) = sum(k=0, n, binomial(n+1, k)*binomial(5*n-k+3, n-k))/(n+1); CROSSREFS Cf. A003169, A006318, A365764, A365766. Cf. A365752. Sequence in context: A213233 A115187 A266456 * A247772 A129763 A277424 Adjacent sequences: A365762 A365763 A365764 * A365766 A365767 A365768 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 18 2023 STATUS approved

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Last modified August 8 07:28 EDT 2024. Contains 375020 sequences. (Running on oeis4.)