A295635 Write 2 - Zeta(s) in the form 1/Product_{n > 1}(1 + a(n)/n^s).

1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 4, 1, 2, 2, 6, 1, 4, 1, 4, 2, 2, 1, 8, 2, 2, 2, 4, 1, 6, 1, 6, 2, 2, 2, 12, 1, 2, 2, 8, 1, 6, 1, 4, 4, 2, 1, 16, 2, 4, 2, 4, 1, 8, 2, 8, 2, 2, 1, 16, 1, 2, 4, 10, 2, 6, 1, 4, 2, 6, 1, 24, 1, 2, 4, 4, 2, 6, 1, 16, 6, 2, 1, 16, 2, 2

Offset

2,3

Links

Table of n, a(n) for n=2..86.

Mathematica

nn=100;
facs[n_]:=If[n<=1, {{}}, Join@@Table[Map[Prepend[#, d]&, Select[facs[n/d], Min@@#>=d&]], {d, Rest[Divisors[n]]}]];
-Solve[Table[-1==Sum[Times@@a/@f, {f, facs[n]}], {n, 2, nn}], Table[a[n], {n, 2, nn}]][[1, All, 2]]

Crossrefs

Cf. A001055, A045778, A050376, A220418, A220420, A273866, A273873, A289501, A290261, A290262, A290971, A290973, A295279, A295632, A295636.

Sequence in context: A347050 A348383 A369713 * A115751 A324888 A249145

Adjacent sequences: A295632 A295633 A295634 * A295636 A295637 A295638

Keyword

nonn

Author

Gus Wiseman, Nov 24 2017

Status

approved