A364760 G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^2).

1, -1, -1, 4, 1, -21, 14, 111, -195, -529, 1837, 1792, -14772, 2300, 105431, -126697, -657427, 1650427, 3285795, -16211352, -8308737, 135770125, -79748628, -990431659, 1700106664, 6098396204, -20258923714, -27342511804, 193913175511, 12018867589

Offset

0,4

Links

Table of n, a(n) for n=0..29.

Formula

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

Prog

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

Crossrefs

Cf. A007440, A364761, A364762, A364763.

Cf. A161634.

Sequence in context: A126457 A159841 A202550 * A142472 A360089 A299445

Adjacent sequences: A364757 A364758 A364759 * A364761 A364762 A364763

Keyword

sign

Author

Seiichi Manyama, Aug 05 2023

Status

approved