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A145492 Coefficients of certain power series associated with Atkin polynomials (see Kaneko-Zagier reference for precise definition). 6

%I #17 Aug 20 2018 20:56:12

%S 1,450,394680,429557700,522037315800,678696698599920,

%T 923563866149496000,1298893924326291064200,1872892788786285985719000,

%U 2753834730409783196154778800,4113309164116707723917886096960

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

%H Seiichi Manyama, <a href="/A145492/b145492.txt">Table of n, a(n) for n = 0..310</a>

%H M. Kaneko and D. Zagier, <a href="http://www2.math.kyushu-u.ac.jp/~mkaneko/papers/atkin.pdf">Supersingular j-invariants, hypergeometric series and Atkin's orthogonal polynomials</a>, pp. 97-126 of D. A. Buell and J. T. Teitelbaum, eds., Computational Perspectives on Number Theory, Amer. Math. Soc., 1998

%F a(n) = (8*n+7)*(6*n+1)!/(7*(3*n)!*n!*(n+1)!^2). - _Seiichi Manyama_, Aug 20 2018

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

%Y Cf. A001421, A145493, A145494, A318174.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Feb 28 2009

%E More terms from _Vladeta Jovovic_, Feb 28 2009

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)