A305633 Expansion of Sum_{r not a perfect power} x^r/(1 + x^r).

0, 0, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -2, 1, 1, 3, -1, 1, 2, 1, -2, 3, 1, 1, -3, 1, 1, 1, -2, 1, 1, 1, -1, 3, 1, 3, -3, 1, 1, 3, -3, 1, 1, 1, -2, 4, 1, 1, -4, 1, 2, 3, -2, 1, 3, 3, -3, 3, 1, 1, -4, 1, 1, 4, -1, 3, 1, 1, -2, 3, 1, 1, -3, 1, 1, 4, -2, 3, 1, 1, -4

Offset

0,13

Links

Table of n, a(n) for n=0..80.

Mathematica

nn=100;
wadQ[n_]:=n>1&&GCD@@FactorInteger[n][[All, 2]]==1;
ser=Sum[x^p/(1+x^p), {p, Select[Range[nn], wadQ]}];
Table[SeriesCoefficient[ser, {x, 0, n}], {n, nn}]

Crossrefs

Cf. A000607, A001597, A007916, A048165, A081362, A091050, A303707, A304779, A304817, A305614, A305630-A305635.

Sequence in context: A254046 A137457 A275699 * A214123 A369188 A007862

Adjacent sequences: A305630 A305631 A305632 * A305634 A305635 A305636

Keyword

sign

Author

Gus Wiseman, Jun 07 2018

Status

approved