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A153251 Coefficients of the sixth order mock theta function phi_{-}(q). 2
0, 1, 3, 5, 8, 14, 22, 33, 51, 74, 105, 151, 210, 289, 398, 537, 719, 960, 1267, 1660, 2167, 2807, 3614, 4638, 5915, 7507, 9498, 11957, 14994, 18744, 23337, 28959, 35834, 44192, 54338, 66643, 81499, 99407, 120969, 146836, 177820 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

B.C. Berndt and S.H. Chan, Sixth order mock theta functions, Adv. Math. 216 (2007), 771-786.

LINKS

Table of n, a(n) for n=0..40.

B.C. Berndt and S.H. Chan, Sixth order mock theta functions, Adv. Math. 216 (2007), 771-786.

FORMULA

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

PROG

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

CROSSREFS

Cf A153252.

Other '6th order' mock theta functions are at A053268, A053269, A053270, A053271, A053272, A053273, A053274.

Sequence in context: A141739 A094007 A159914 * A229167 A245968 A109022

Adjacent sequences:  A153248 A153249 A153250 * A153252 A153253 A153254

KEYWORD

nonn

AUTHOR

Jeremy Lovejoy, Dec 21 2008

STATUS

approved

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Last modified December 10 00:24 EST 2016. Contains 278993 sequences.