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, arXiv:0708.0692 [math.NT], 2007; 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