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A153155 Coefficients of the eighth order mock theta function T_0(q). 7
0, 0, 1, -1, 1, -1, 2, -2, 3, -4, 4, -5, 7, -7, 9, -11, 12, -15, 18, -20, 24, -28, 32, -37, 43, -48, 56, -65, 72, -83, 95, -106, 122 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

REFERENCES

B. Gordon and R. J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62 (2000), 321-335.

LINKS

Table of n, a(n) for n=0..32.

FORMULA

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

PROG

(PARI) lista(nn) = {my(q = qq + O(qq^nn)); gf = sum(n = 0, nn, q^((n+1)*(n+2)) * prod(k = 1, n, 1 + q^(2*k)) / prod(k = 0, n, 1 + q^(2*k+1))); for (i=0, nn, print1(polcoeff(gf, i), ", "); ); } \\ Michel Marcus, Jun 18 2013

CROSSREFS

Other '8th order' mock theta functions are at A153148, A153149, A153156, A153172, A153174, A153176, A153178.

Sequence in context: A029043 A097920 A029042 * A225085 A134310 A029041

Adjacent sequences:  A153152 A153153 A153154 * A153156 A153157 A153158

KEYWORD

sign

AUTHOR

Jeremy Lovejoy, Dec 19 2008

STATUS

approved

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Last modified August 29 19:56 EDT 2014. Contains 246211 sequences.