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%I #17 Jan 31 2021 20:36:23
%S 1,1,1,-1,0,2,0,-1,0,1,1,-2,0,3,0,-2,-1,3,1,-4,0,4,1,-4,-1,5,2,-6,-2,
%T 7,0,-6,-1,7,3,-9,-1,10,1,-10,-2,11,3,-14,-3,15,2,-14,-3,17,5,-19,-4,
%U 21,3,-22,-5,23,7,-28,-5,30,5,-30,-7,34,8,-38,-7,41,7
%N Coefficients of the eighth-order mock theta function S_0(q).
%H Seiichi Manyama, <a href="/A153148/b153148.txt">Table of n, a(n) for n = 0..10000</a>
%H B. Gordon and R. J. McIntosh, <a href="http://dx.doi.org/10.1112/S0024610700008735">Some eighth order mock theta functions</a>, J. London Math. Soc. 62 (2000), 321-335.
%F G.f.: Sum_{n >= 0} q^(n^2)(1+q)(1+q^3)...(1+q^(2n-1))/(1+q^2)(1+q^4)...(1+q^(2n)).
%o (PARI) lista(nn) = my(q = qq + O(qq^nn)); gf = sum(n = 0, nn, q^(n^2) * prod(k = 1, n, 1 + q^(2*k-1)) / prod(k = 1, n, 1 + q^(2*k))); Vec(gf) \\ _Michel Marcus_, Jun 18 2013
%Y Other '8th-order' mock theta functions are at A153149, A153155, A153156, A153172, A153174, A153176, A153178.
%K sign
%O 0,6
%A _Jeremy Lovejoy_, Dec 19 2008
%E More terms from _Michel Marcus_, Feb 23 2015
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