A345002 Numbers k such that A345001(k)/A342001(k) is a positive natural number and a divisor of k.

6, 28, 171, 496, 8128, 478800, 32317272, 33550336

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Index entries for sequences where odd perfect numbers must occur, if they exist at all

Prog

(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003557(n) = (n/factorback(factorint(n)[, 1]));
isA345002(n) = if(1==n, 0, my(d=A003415(n), s=sigma(n)+d-(n+n), r=s/(d/A003557(n))); (r>0&&1==denominator(r)&&!(n%r)));

Crossrefs

Cf. A000396 (subsequence), A003415, A003557, A342001, A345001.

Cf. also A344755.

Sequence in context: A173081 A278015 A338810 * A169723 A052395 A034660

Adjacent sequences: A344999 A345000 A345001 * A345003 A345004 A345005

Keyword

nonn,more

Author

Antti Karttunen, Jun 05 2021

Status

approved