A365700 G.f. satisfies A(x) = 1 + x^5*A(x)^3 / (1 - x*A(x)).

1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 8, 13, 19, 26, 46, 88, 163, 284, 466, 781, 1369, 2468, 4449, 7856, 13724, 24084, 42788, 76759, 137785, 246418, 439757, 786132, 1411148, 2541368, 4581906, 8259500, 14889781, 26871106, 48573823, 87934175, 159333544, 288857216

Offset

0,11

Links

Table of n, a(n) for n=0..42.

Formula

a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k-1,n-5*k) * binomial(n-2*k+1,k) / (n-2*k+1).

Prog

(PARI) a(n) = sum(k=0, n\5, binomial(n-4*k-1, n-5*k)*binomial(n-2*k+1, k)/(n-2*k+1));

Crossrefs

Cf. A212364, A365698, A365699, A365701, A365702.

Sequence in context: A312210 A312211 A034856 * A362290 A183865 A064609

Adjacent sequences: A365697 A365698 A365699 * A365701 A365702 A365703

Keyword

nonn

Author

Seiichi Manyama, Sep 16 2023

Status

approved