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A145493 Coefficients of certain power series associated with Atkin polynomials (see Kaneko-Zagier reference for precise definition). 6
1, 944, 1054170, 1297994880, 1700941165560, 2326960109485440, 3285120488273369460, 4750462777483659350400, 7000542310802147888540760, 10475220761578770433945887360, 15873347459609903883739895346480, 24308956895577230857746294480107520, 37564030601621705287879755722478648000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..309

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) = (A145492(n+1) - A001421(n+1))/330. - Seiichi Manyama, Aug 18 2018

a(n) = ((41*n+77)/2310) * (6*n+6)!/((3*n+3)!*n!*((n+2)!)^2). - Seiichi Manyama, Aug 19 2018

PROG

(PARI) {a(n) = (41*n+77)/2310*(6*n+6)!/((3*n+3)!*n!*(n+2)!^2)} \\ Seiichi Manyama, Aug 19 2018

CROSSREFS

Cf. A001421, A145492, A145494.

Sequence in context: A234485 A260136 A215838 * A271765 A133814 A104438

Adjacent sequences:  A145490 A145491 A145492 * A145494 A145495 A145496

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 28 2009

EXTENSIONS

More terms from Seiichi Manyama, Aug 18 2018

STATUS

approved

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Last modified October 21 11:23 EDT 2019. Contains 328294 sequences. (Running on oeis4.)