A048165 Expansion of Product_{k > 0} 1/(1 + x^prime(k)).

1, 0, -1, -1, 1, 0, 0, -1, 1, 0, 1, -2, 1, -1, 2, -2, 2, -3, 3, -3, 4, -4, 5, -6, 6, -6, 8, -9, 9, -11, 12, -13, 14, -16, 19, -19, 21, -25, 26, -28, 32, -36, 38, -41, 46, -50, 55, -60, 65, -70, 77, -85, 91, -99, 108, -116, 126, -138, 149, -160, 174, -188, 202, -219, 237, -255, 274, -296

Offset

0,12

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

a(n) = A184198(n) - A184199(n). - Vaclav Kotesovec, Jan 11 2021

Mathematica

nn=20;
ser=Product[1/(1+x^p), {p, Select[Range[nn], PrimeQ]}];
Table[SeriesCoefficient[ser, {x, 0, n}], {n, nn}] (* Gus Wiseman, Jun 06 2018 *)

Crossrefs

Cf. A000005, A000040, A000586, A000607, A001221, A008683, A083399, A088705, A280954, A305614.

Sequence in context: A029307 A161066 A161105 * A161040 A180234 A131059

Adjacent sequences: A048162 A048163 A048164 * A048166 A048167 A048168

Keyword

sign

Author

N. J. A. Sloane

Status

approved