A260983 Coefficients of the mock theta function gammabar(q).

1, 2, -2, 2, 2, -6, 4, 4, -8, 4, 4, -10, 6, 8, -16, 8, 10, -22, 12, 12, -26, 16, 16, -38, 20, 22, -48, 26, 28, -58, 32, 36, -78, 40, 44, -96, 52, 56, -116, 64, 68, -150, 80, 84, -182, 96, 104, -218, 118, 126, -270, 144, 152, -326, 172, 184, -388, 208, 220, -470, 248

Offset

0,2

Links

Table of n, a(n) for n=0..60.

K. Bringmann, J. Dousse, J. Lovejoy, and K. Mahlburg, Overpartitions with restricted odd differences, Electron. J. Combin. 22 (2015), no.3, paper 3.17.

K. Bringmann and J. Lovejoy, Dyson's rank, overpartitions, and weak Maass forms, Int. Math. Res. Not. (2007), rnm063.

Formula

G.f.: 1 + 2*Sum_{n >= 1} q^(n(n+1)/2)*(1-q^2)(1-q^4)...(1-q^(2n-2))*(1-q^n)/((1-q^3)(1-q^6)...(1-q^(3*n)).

Crossrefs

Sequence in context: A263455 A283677 A355192 * A103222 A319100 A304794

Adjacent sequences: A260980 A260981 A260982 * A260984 A260985 A260986

Keyword

sign

Author

Jeremy Lovejoy, Aug 06 2015

Status

approved