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A374081 Expansion of Product_{k>=1} (1 - x^(4*k-3)) * (1 - x^(4*k)). 2
1, -1, 0, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 2, -1, -1, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 1, 1, 0, -2, 1, 1, -2, 0, 2, 0, -1, 0, 1, 0, -1, 0, 2, -1, -2, 1, 1, -1, -1, 1, 2, -2, -1, 2, 0, -2, 0, 2, 0, -2, 0, 2, -1, -2, 1, 2, -1, -2, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,29
LINKS
MATHEMATICA
nmax = 85; CoefficientList[Series[Product[(1 - x^(4 k - 3)) (1 - x^(4 k)), {k, 1, nmax}], {x, 0, nmax}], x]
a[0] = 1; a[n_] := a[n] = -(1/n) Sum[DivisorSum[k, # &, Or[Mod[#, 4] == 0, Mod[#, 4] == 1] &] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 85}]
CROSSREFS
Sequence in context: A321920 A106276 A305053 * A353454 A276799 A353423
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Jun 27 2024
STATUS
approved

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Last modified August 12 19:26 EDT 2024. Contains 375113 sequences. (Running on oeis4.)