

A153148


Coefficients of the eighth order mock theta function S_0(q).


7



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, 7, 0, 6, 1, 7, 3, 9, 1, 10, 1, 10, 2, 11, 3, 14, 3, 15, 2, 14, 3, 17, 5, 19, 4, 21, 3, 22, 5, 23, 7, 28, 5, 30, 5, 30, 7, 34, 8, 38, 7, 41, 7
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OFFSET

0,6


LINKS

Table of n, a(n) for n=0..70.
B. Gordon and R. J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62 (2000), 321335.


FORMULA

G.f.: Sum_{n >= 0} q^(n^2)(1+q)(1+q^3)...(1+q^(2n1))/(1+q^2)(1+q^4)...(1+q^(2n)).


PROG

(PARI) lista(nn) = my(q = qq + O(qq^nn)); gf = sum(n = 0, nn, q^(n^2) * prod(k = 1, n, 1 + q^(2*k1)) / prod(k = 1, n, 1 + q^(2*k))); Vec(gf) \\ Michel Marcus, Jun 18 2013


CROSSREFS

Other '8th order' mock theta functions are at A153149, A153155, A153156, A153172, A153174, A153176, A153178.
Sequence in context: A066416 A091991 A108234 * A091830 A029427 A132343
Adjacent sequences: A153145 A153146 A153147 * A153149 A153150 A153151


KEYWORD

sign


AUTHOR

Jeremy Lovejoy, Dec 19 2008


EXTENSIONS

More terms from Michel Marcus, Feb 23 2015


STATUS

approved



