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A288843 Coefficients of the modular function j_2 = j^2 - 1488*j + 159768. 6
1, 0, 0, 42987520, 40491909396, 8504046600192, 802981794805760, 45134786619187200, 1748627440235850690, 50995654778821050368, 1186243544863135973376, 22919825576889573027840, 378899952498119982698200, 5481261425027249309859840 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 23 09:35 EDT 2019. Contains 322385 sequences. (Running on oeis4.)