cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A145493 Coefficients of certain power series associated with Atkin polynomials (see Kaneko-Zagier reference for precise definition).

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