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A295632 Write 1/Product_{n > 1}(1 - 1/n^s) in the form Product_{n > 1}(1 + a(n)/n^s). 5
1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,3

COMMENTS

First negative entry is a(1024) = -4.

LINKS

Table of n, a(n) for n=2..88.

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[Length[facs[n]]==Sum[Times@@a/@f, {f, Select[facs[n], UnsameQ@@#&]}], {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, A295635, A295636.

Sequence in context: A074064 A275215 A304886 * A139549 A216915 A280569

Adjacent sequences:  A295629 A295630 A295631 * A295633 A295634 A295635

KEYWORD

sign

AUTHOR

Gus Wiseman, Nov 24 2017

STATUS

approved

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Last modified August 3 05:55 EDT 2020. Contains 336197 sequences. (Running on oeis4.)