A376491 G.f. satisfies A(x) = 1 / (1 - x^4*A(x)^4 / (1 - x)).

1, 0, 0, 0, 1, 1, 1, 1, 6, 11, 16, 21, 61, 136, 246, 391, 856, 1926, 3886, 7021, 14146, 30606, 64276, 125561, 251147, 527752, 1115877, 2273557, 4611992, 9583058, 20198698, 41982193, 86481758, 179676908, 377608039, 791559669, 1649078139, 3441054929

Offset

0,9

Links

Table of n, a(n) for n=0..37.

Formula

a(n) = Sum_{k=0..floor(n/4)} binomial(5*k,k) * binomial(n-3*k-1,n-4*k) / (4*k+1).

Prog

(PARI) a(n) = sum(k=0, n\4, binomial(5*k, k)*binomial(n-3*k-1, n-4*k)/(4*k+1));

Crossrefs

Cf. A002212, A376489, A376490.

Sequence in context: A315479 A315480 A276872 * A315481 A315482 A315483

Adjacent sequences: A376488 A376489 A376490 * A376492 A376493 A376494

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2024

Status

approved