A305698 - OEIS

A305698

Coefficients of (q*(j(q)-744))^(-1/2) where j(q) is the elliptic modular invariant.

%I #15 Jun 10 2018 01:44:20

%S 1,0,-98442,-10746880,14104091061,3163710154752,-2084259398665810,

%T -764175960909112320,294840080134539846210,168738710694984764315648,

%U -36893258480144387666915136,-35102639613834243676336481280

%N Coefficients of (q*(j(q)-744))^(-1/2) where j(q) is the elliptic modular invariant.

%H Seiichi Manyama, <a href="/A305698/b305698.txt">Table of n, a(n) for n = 0..377</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/j-Function.html">j-Function</a>

%t CoefficientList[Series[((2^16 + x*QPochhammer[-1, x]^24)^3/(2*QPochhammer[-1, x])^24 - 744*x)^(-1/2), {x, 0, 15}], x] (* _Vaclav Kotesovec_, Jun 09 2018 *)

%Y (q*(j(q)-744))^(k/4): A305699 (k=-4), this sequence (k=-2), A305696 (k=-1), A304020 (k=1), A305697 (k=2).

%Y Cf. A000521 (j), A014708 (j-744).

%K sign

%O 0,3

%A _Seiichi Manyama_, Jun 08 2018