OFFSET
0,6
COMMENTS
Number of partitions of n into nonzero 4-dimensional pyramidal numbers (A000332).
LINKS
FORMULA
G.f.: Product_{k>=1} 1/(1 - x^(k*(k+1)*(k+2)*(k+3)/24)).
EXAMPLE
a(10) = 3 because we have [5, 5], [5, 1, 1, 1, 1, 1] and [1, 1, 1, 1, 1, 1, 1, 1, 1, 1].
MATHEMATICA
nmax = 85; CoefficientList[Series[Product[1/(1 - x^(k (k + 1) (k + 2) (k + 3)/24)), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 15 2017
STATUS
approved