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 A365699 G.f. satisfies A(x) = 1 + x^5*A(x)^2 / (1 - x*A(x)). 5
 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 6, 10, 15, 21, 33, 57, 101, 175, 291, 477, 791, 1341, 2310, 3986, 6839, 11681, 19966, 34300, 59245, 102647, 177963, 308483, 534973, 929147, 1616981, 2818967, 4920299, 8594665, 15023561, 26283971, 46030771, 80695333, 141593087 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,11 LINKS Table of n, a(n) for n=0..43. FORMULA a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k-1,n-5*k) * binomial(n-3*k+1,k) / (n-3*k+1). PROG (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k-1, n-5*k)*binomial(n-3*k+1, k)/(n-3*k+1)); CROSSREFS Cf. A212364, A365698, A365700, A365701, A365702. Sequence in context: A051166 A188278 A188279 * A346735 A174163 A152899 Adjacent sequences: A365696 A365697 A365698 * A365700 A365701 A365702 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 16 2023 STATUS approved

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Last modified June 15 05:49 EDT 2024. Contains 373402 sequences. (Running on oeis4.)