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A153156 Coefficients of the eighth order mock theta function T_1(q). 7
1, -1, 2, -2, 3, -4, 5, -6, 8, -9, 11, -14, 17, -20, 24, -28, 33, -39, 46, -53, 62, -72, 83, -96, 110, -126, 145, -165, 188, -214, 243, -275, 312, -352, 396, -447, 502, -563, 632, -707, 791, -884, 986, -1098, 1223, -1359, 1509, -1676, 1857, -2056, 2276, -2515 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..51.

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

FORMULA

G.f.: Sum{n >= 0} q^(n^2+n) (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^2+n) * prod(k = 1, n, 1 + q^(2*k)) / prod(k = 0, n, 1 + q^(2*k+1))); Vec(gf) \\ Michel Marcus, Jun 18 2013

CROSSREFS

Other '8th order' mock theta functions are at A153148, A153149, A153155, A153172, A153174, A153176, A153178.

Sequence in context: A137793 A067659 A261772 * A017852 A029013 A114096

Adjacent sequences:  A153153 A153154 A153155 * A153157 A153158 A153159

KEYWORD

sign

AUTHOR

Jeremy Lovejoy, Dec 19 2008

EXTENSIONS

More terms from Michel Marcus, Feb 23 2015

STATUS

approved

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Last modified December 5 13:49 EST 2016. Contains 278768 sequences.