|
%I #32 Apr 09 2018 07:51:39
%S 236364091,11345607408,1388559260664,12394474658060992,
%T 9814693119921673116,2019857252618388683232,190025763555531360708608,
%U 10672023198070702208400000,413360977196056231738283958,12054048247468605179718429968
%N Coefficients in expansion of 236364091*E_24/Delta^2 where Delta is the generating function of Ramanujan's tau function (A000594).
%H Seiichi Manyama, <a href="/A289981/b289981.txt">Table of n, a(n) for n = -2..1000</a>
%F a(n) = 236364091*A028515(n+2) - 340364160000*A000521(n), for n > 0.
%F G.f.: 236364091*j^2 - 340364160000*j + 30710845440000 where j is the elliptic modular invariant.
%F 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.
%F a(n) ~ 236364091 * exp(4*Pi*sqrt(2*n)) / (2^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Apr 09 2018
%Y Cf. A000521 (j), A000594 (Delta), A013971, A028515 ((q*j)^2), A029831 (236364091*E_24).
%Y Cf. A288837.
%K nonn
%O -2,1
%A _Seiichi Manyama_, Jul 17 2017
| 