A289116 Coefficients of the modular function j_4 = j^4 - 2976*j^3 + 2533680*j^2 - 561444608*j + 8507424792.

1, 0, 0, 0, 0, 80983425024, 1605963589611520, 3497254878743101440, 2372487089726272143636, 757799904995573560115200, 141229812746254212446109696, 17462756899435506538441605120, 1558432024683984450558995200000, 106457463303015185075488607502336

Offset

-4,6

Links

Seiichi Manyama, Table of n, a(n) for n = -4..1000

D. Zagier, Traces of singular moduli, see p. 9.

Formula

a(n) ~ exp(8*Pi*sqrt(n)) / n^(3/4). - Vaclav Kotesovec, Jun 29 2017

Example

G.f.: 1/q^4 + 80983425024*q + 1605963589611520*q^2 + 3497254878743101440*q^3 + ...

Crossrefs

Cf. A014708 (j_1), A288843 (j_2), A288844 (j_3), this sequence (j_4), A289148 (j_5), A289149 (j_6).

Cf. A000521 (j), A028515 ((q*j)^2), A288846 ((q*j)^3).

Cf. A289141.

Sequence in context: A287246 A022252 A034653 * A249621 A227280 A172548

Adjacent sequences: A289113 A289114 A289115 * A289117 A289118 A289119

Keyword

nonn

Author

Seiichi Manyama, Jun 25 2017

Status

approved