OFFSET
0,57
COMMENTS
The difference between the number of partitions of n into an even number of distinct tetrahedral numbers and the number of partitions of n into an odd number of distinct tetrahedral numbers.
LINKS
Eric Weisstein's World of Mathematics, Tetrahedral Number
FORMULA
G.f.: Product_{k>=1} (1 - x^A000292(k)).
MATHEMATICA
nmax = 104; CoefficientList[Series[Product[1 - x^(k (k + 1) (k + 2)/6), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Jan 15 2018
STATUS
approved