login
Expansion of theta_4(q)^16 in powers of q = exp(Pi i t).
5

%I #12 Sep 17 2018 09:37:17

%S 1,-32,480,-4480,29152,-140736,525952,-1580800,3994080,-8945824,

%T 18626112,-36714624,67978880,-118156480,197120256,-321692928,

%U 509145568,-772845120,1143441760,-1681379200,2428524096,-3392205824,4658843520,-6411152640,8705492608,-11488092896

%N Expansion of theta_4(q)^16 in powers of q = exp(Pi i t).

%H Seiichi Manyama, <a href="/A319307/b319307.txt">Table of n, a(n) for n = 0..10000</a>

%F Expansion of eta(q)^32 / eta(q^2)^16 in powers of q.

%Y theta_4(q)^b: A002448 (b=1), A104794 (b=2), A213384 (b=3), A096727 (b=4), A035016 (b=8), A286346 (b=12), this sequence (b=16), A319308 (b=20), A319309 (b=24), A319310 (b=28).

%Y Cf. A000152.

%K sign

%O 0,2

%A _Seiichi Manyama_, Sep 16 2018