A288843 Coefficients of the modular function j_2 = j^2 - 1488*j + 159768.

1, 0, 0, 42987520, 40491909396, 8504046600192, 802981794805760, 45134786619187200, 1748627440235850690, 50995654778821050368, 1186243544863135973376, 22919825576889573027840, 378899952498119982698200, 5481261425027249309859840

Offset

-2,4

Links

Seiichi Manyama, Table of n, a(n) for n = -2..1000

K. Ono, A mock theta function for the Delta-function, Proceedings of the 2007 Integers Conference, Carrollton, Georgia, October 24—27, 2007.

Formula

a(n) ~ exp(4*Pi*sqrt(2*n)) / (2^(1/4)*n^(3/4)). - Vaclav Kotesovec, Jun 29 2017

Example

G.f. = q^-2 + 42987520*q + 40491909396*q^2 + 8504046600192*q^3 + ... - Michael Somos, Aug 15 2018

Mathematica

a[ n_] := With[{j = 1728 KleinInvariantJ[ Log[q]/(2 Pi I)]}, SeriesCoefficient[ Series[j^2 - 1488 j + 159768, {q, 0, n + 1}], {q, 0, n}]]; (* Michael Somos, Aug 15 2018 *)

Crossrefs

Cf. A014708 (j_1), this sequence (j_2), A288844 (j_3).

Cf. A000521 (j), A028520.

Sequence in context: A276714 A187963 A028520 * A186580 A186589 A186581

Adjacent sequences: A288840 A288841 A288842 * A288844 A288845 A288846

Keyword

nonn

Author

Seiichi Manyama, Jun 17 2017

Status

approved