OFFSET
0,5
COMMENTS
a(n) is the number of partitions of n into squares k^2 of A037444(k) kinds.
EXAMPLE
a(8) = 6 because we have [{4}, {4}], [{4}, {1, 1, 1, 1}], [{4}, {1}, {1}, {1}, {1}], [{1, 1, 1, 1}, {1, 1, 1, 1}], [{1, 1, 1, 1}, {1}, {1}, {1}, {1}] and [{1}, {1}, {1}, {1}, {1}, {1}, {1}, {1}].
MATHEMATICA
b[n_] := b[n] = SeriesCoefficient[Product[1/(1 - x^k^2), {k, 1, n}], {x, 0, n^2}]; a[n_] := a[n] = SeriesCoefficient[Product[1/(1 - x^k^2)^b[k], {k, 1, n}], {x, 0, n}]; Table[a[n], {n, 0, 52}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Nov 11 2018
STATUS
approved