A367032 G.f. satisfies A(x) = 1 + x*A(x)^2 - x^2*A(x)^5.

1, 1, 1, -2, -17, -57, -72, 386, 3007, 10239, 9205, -111000, -761932, -2419388, -810428, 36696186, 223335951, 638716047, -268768549, -12961722498, -70517888953, -176288334833, 256285732480, 4745735309240, 23204309443908, 48765510266948, -144850760459972

Offset

0,4

Links

Table of n, a(n) for n=0..26.

Formula

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

Prog

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

Crossrefs

Cf. A082582, A367031.

Cf. A001764.

Sequence in context: A125609 A377699 A100518 * A125200 A368390 A175450

Adjacent sequences: A367029 A367030 A367031 * A367033 A367034 A367035

Keyword

sign

Author

Seiichi Manyama, Nov 02 2023

Status

approved