OFFSET
0,3
COMMENTS
a(n) is also the excess of the number of overpartitions of n with an even number of overlined parts larger than the number of non-overlined parts over the number of overpartitions of n with an odd number of overlined parts larger than the number of non-overlined parts.
LINKS
B. Kim, E. Kim, and J. Lovejoy, On weighted overpartitions related to some q-series in Ramanujan's lost notebook, Int. J. Number Theory 17 (2021), 603-619.
FORMULA
G.f.: (Product_{k>=1} (1+q^k)/(1-q^k))*(1-2*Sum_{n>=1} q^(n*(3*n-1)/2)*(1-q^n)).
CROSSREFS
KEYWORD
nonn
AUTHOR
Jeremy Lovejoy, Aug 23 2021
STATUS
approved