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A300549
a(n) = [x^n] Product_{d|n} (1 + x^d)/(1 - x^d).
2
1, 2, 4, 4, 10, 4, 28, 4, 36, 14, 44, 4, 284, 4, 60, 64, 202, 4, 616, 4, 732, 88, 92, 4, 5740, 22, 108, 112, 1404, 4, 10672, 4, 1828, 136, 140, 144, 42622, 4, 156, 160, 22940, 4, 28024, 4, 3420, 3172, 188, 4, 266524, 30, 4344, 208, 4764, 4, 58600, 224, 60204, 232, 236, 4, 3464272, 4, 252, 6052, 27338, 264
OFFSET
0,2
FORMULA
a(n) = 4 if n is a prime (A000040).
MATHEMATICA
Table[SeriesCoefficient[Product[(1 + Boole[Mod[n, k] == 0] x^k)/(1 - Boole[Mod[n, k] == 0] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 65}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Mar 08 2018
STATUS
approved