

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
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OFFSET

0,7


REFERENCES

B. Gordon and R. J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62 (2000), 321335.


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



