OFFSET
1,2
COMMENTS
The corresponding record values are 1, 2, 3, 8, 16, 27, 72, 128, 200, 392, 46656, 186624, 1000000, ...
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..68 (terms below 10^10)
FORMULA
The first 8 terms of A157488 are 1, 2, 3, 8, 5, 6, 7 and 16. The record values occur at 1, 2, 3, 4 and 8 - the first 5 terms of this sequence.
MATHEMATICA
f[p_, e_] := p^(DivisorSigma[1, e]/DivisorSigma[0, e]); exprod[n_] := (Times @@ (f @@@ (fct = FactorInteger[n])))^(Times @@ DivisorSigma[0, Last /@ fct]); em = 0; s = {}; Do[If[(e = exprod[n]) > em, em = e; AppendTo[s, n]], {n, 1, 10^6}]; s
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Jun 05 2020
STATUS
approved