A161528 Expansion of the q-series Sum_{n >= 0} (-1)^nq^(n(n+1)/2)(1-q)(1-q^2)...(1-q^n)/((1-q^(n+1))(1-q^(n+2))...(1-q^(2n+1))).

1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 3, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 4, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2

Offset

0,3

Comments

a(n) = A035187(5n+1).

References

J. Lovejoy and O. Mallet, n-color overpartitions, twisted divisor functions, and Rogers-Ramanujan identities, South East Asian J. Math. Math. Sci., 6 (2008), 23-36.

Links

Table of n, a(n) for n=0..99.

Crossrefs

Sequence in context: A125071 A335699 A177207 * A175083 A323090 A355935

Adjacent sequences: A161525 A161526 A161527 * A161529 A161530 A161531

Keyword

nonn

Author

Jeremy Lovejoy, Jun 12 2009

Status

approved