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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
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. A365758.
Sequence in context: A107025 A212385 A333882 * A365758 A365759 A365757
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.)