A366500 G.f. A(x) satisfies A(x) = 1 + x / ((1+x)^(7/2)*A(x)^(5/2)).

1, 1, -6, 36, -251, 1961, -16477, 145307, -1326227, 12420057, -118666032, 1152120806, -11333969511, 112728949041, -1131701419316, 11452480598696, -116702578057106, 1196469605151736, -12332629378843566, 127727907921601146, -1328542834131885506

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366432.

a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(n+5*k/2-1,n-k) * binomial(7*k/2-1,k) / (7*k/2-1).

Prog

(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(n+5*k/2-1, n-k)*binomial(7*k/2-1, k)/(7*k/2-1));

Crossrefs

Cf. A001006, A366221, A366272, A366273, A366495, A366496, A366497, A366498, A366499, A366501.

Cf. A366432.

Sequence in context: A129063 A367260 A366496 * A221461 A090015 A299330

Adjacent sequences: A366497 A366498 A366499 * A366501 A366502 A366503

Keyword

sign

Author

Seiichi Manyama, Oct 11 2023

Status

approved