A145492 Coefficients of certain power series associated with Atkin polynomials (see Kaneko-Zagier reference for precise definition).

1, 450, 394680, 429557700, 522037315800, 678696698599920, 923563866149496000, 1298893924326291064200, 1872892788786285985719000, 2753834730409783196154778800, 4113309164116707723917886096960

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..310

M. Kaneko and D. Zagier, Supersingular j-invariants, hypergeometric series and Atkin's orthogonal polynomials, pp. 97-126 of D. A. Buell and J. T. Teitelbaum, eds., Computational Perspectives on Number Theory, Amer. Math. Soc., 1998

Formula

a(n) = (8*n+7)*(6*n+1)!/(7*(3*n)!*n!*(n+1)!^2). - Seiichi Manyama, Aug 20 2018

Prog

(PARI) {a(n) = (8*n+7)*(6*n+1)!/(7*(3*n)!*n!*(n+1)!^2)} \\ Seiichi Manyama, Aug 20 2018

Crossrefs

Cf. A001421, A145493, A145494, A318174.

Sequence in context: A107548 A263820 A269884 * A269763 A020268 A345319

Adjacent sequences: A145489 A145490 A145491 * A145493 A145494 A145495

Keyword

nonn

Author

N. J. A. Sloane, Feb 28 2009

Extensions

More terms from Vladeta Jovovic, Feb 28 2009

Status

approved