A290404 Expansion of (1 - lambda(z) + lambda(z)^2)^3 in powers of nome q = exp(Pi*i*z) where lambda(z) is the elliptic modular function (A115977).

1, -48, 1920, -55360, 1324032, -26724000, 464570880, -7064945280, 94923448320, -1136097028848, 12215871801600, -119054431876800, 1060887371509760, -8714739888694560, 66487024888734720, -474247005621552000, 3181339807178883072, -20174389229411069280

Offset

0,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Elliptic Lambda Function

Formula

a(n) ~ (-1)^n * 3^(1/4) * exp(2*Pi*sqrt(6*n)) / (2^(99/4) * n^(3/4)). - Vaclav Kotesovec, Apr 06 2018

Crossrefs

Cf. A000521, A115977, A290403.

Sequence in context: A371193 A231450 A152068 * A276247 A274958 A165043

Adjacent sequences: A290401 A290402 A290403 * A290405 A290406 A290407

Keyword

sign

Author

Seiichi Manyama, Jul 30 2017

Status

approved