A289981 Coefficients in expansion of 236364091*E_24/Delta^2 where Delta is the generating function of Ramanujan's tau function (A000594).

236364091, 11345607408, 1388559260664, 12394474658060992, 9814693119921673116, 2019857252618388683232, 190025763555531360708608, 10672023198070702208400000, 413360977196056231738283958, 12054048247468605179718429968

Offset

-2,1

Links

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

Formula

a(n) = 236364091*A028515(n+2) - 340364160000*A000521(n), for n > 0.

G.f.: 236364091*j^2 - 340364160000*j + 30710845440000 where j is the elliptic modular invariant.

G.f.: (236364091 + 131040 * Sum_{n>=1} sigma_23(n)q^n)/(q^2 * Product_{n>=1} (1 - q^n)^48) where sigma_23(n) is A013971.

a(n) ~ 236364091 * exp(4*Pi*sqrt(2*n)) / (2^(1/4) * n^(3/4)). - Vaclav Kotesovec, Apr 09 2018

Crossrefs

Cf. A000521 (j), A000594 (Delta), A013971, A028515 ((q*j)^2), A029831 (236364091*E_24).

Cf. A288837.

Sequence in context: A328374 A322061 A029831 * A203885 A335591 A234058

Adjacent sequences: A289978 A289979 A289980 * A289982 A289983 A289984

Keyword

nonn

Author

Seiichi Manyama, Jul 17 2017

Status

approved