A338755 Central coefficients of number triangle A210590.

1, 5, 119, 5205, 324569, 26519745, 2681170547, 323104570789, 45224035123553, 7211322045457101, 1290620989042420815, 256193650031596282005, 55863607060241676345961, 13273922770286234753307065, 3413846723448521483558054235, 944832714523233697801280445525, 280003865538498845896076940256065

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..100

Formula

a(n) = A210590(2*n, n) = (-1)^n * A234937(2*n, n).

Prog

(PARI) {a(n) = my(t='t); (2*n)!*polcoef(polcoef(prod(k=1, 2*n, (1-x^k+x*O(x^(2*n)))^(-1-t)), 2*n), n)}
(PARI) {a(n) = my(t='t); if(n==0, 1, (2*n)!*polcoef(polcoef(exp(sum(k=1, 2*n, (1+t)*sigma(k)*(x^k+x*O(x^(2*n)))/k)), 2*n), n))}

Crossrefs

Cf. A210590, A234937.

Sequence in context: A156962 A065818 A139189 * A155202 A168599 A193328

Adjacent sequences: A338752 A338753 A338754 * A338756 A338757 A338758

Keyword

nonn

Author

Seiichi Manyama, Nov 07 2020

Status

approved