Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #18 Aug 19 2018 06:08:21
%S 1,944,1054170,1297994880,1700941165560,2326960109485440,
%T 3285120488273369460,4750462777483659350400,7000542310802147888540760,
%U 10475220761578770433945887360,15873347459609903883739895346480,24308956895577230857746294480107520,37564030601621705287879755722478648000
%N Coefficients of certain power series associated with Atkin polynomials (see Kaneko-Zagier reference for precise definition).
%H Seiichi Manyama, <a href="/A145493/b145493.txt">Table of n, a(n) for n = 0..309</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) = (A145492(n+1) - A001421(n+1))/330. - _Seiichi Manyama_, Aug 18 2018
%F a(n) = ((41*n+77)/2310) * (6*n+6)!/((3*n+3)!*n!*((n+2)!)^2). - _Seiichi Manyama_, Aug 19 2018
%o (PARI) {a(n) = (41*n+77)/2310*(6*n+6)!/((3*n+3)!*n!*(n+2)!^2)} \\ _Seiichi Manyama_, Aug 19 2018
%Y Cf. A001421, A145492, A145494.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Feb 28 2009
%E More terms from _Seiichi Manyama_, Aug 18 2018