A350583 Coefficients of the expansion of Sum_{n,m>=1} (-1)^m*q^(2*n*m+m)/((1+q^n)*(1-q^(2*m-1))) (odd powers only).

-1, -2, -3, -5, -4, -7, -9, -6, -11, -11, -11, -14, -15, -12, -15, -24, -14, -21, -20, -16, -30, -25, -20, -27, -31, -22, -33, -31, -25, -36, -44, -28, -30, -43, -26, -50, -43, -37, -47, -40, -38, -51, -53, -34, -53, -62, -38, -55, -63, -36, -74, -58, -42, -54, -64, -65, -69, -71

Offset

1,2

Comments

It is conjectured that only odd powers appear in this expansion.

Links

Table of n, a(n) for n=1..58.

George E. Andrews, Atul Dixit, Daniel Schultz, and Ae Ja Yee, Overpartitions related to the mock theta function w(q), arXiv:1603.04352 [math.NT], 2016. See Y(q) p. 24.

Example

G.f. = -q^3 -2*q^5 -3*q^7 -5*q^9 -4*q^11 -7*q^13 -9*q^15 -6*q^17 -11*q^19 ...

Prog

(PARI) lista(nn) = my(v=Vec(sum(n=1, nn, sum(m=1, nn, (-1)^m*q^(2*n*m+m)/((1+q^n)*(1-q^(2*m-1))))) + O(q^(2*nn)))); vector(#v\2, k, v[2*k-1]);

Crossrefs

Sequence in context: A193973 A245057 A127521 * A102399 A118318 A245707

Adjacent sequences: A350580 A350581 A350582 * A350584 A350585 A350586

Keyword

sign

Author

Michel Marcus, Jan 07 2022

Status

approved