OFFSET
1,2
COMMENTS
The corresponding record numbers of divisors d(a(n)) are 1, 2, 3, 6, 9, 10, 11, 14, 16, 20, ... (see the link for more values).
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..25
Amiram Eldar, Table of n, a(n), d(a(n)) for n = 1..25
EXAMPLE
6 is in the sequence since there are a record number of 3 largely composite numbers, 6, 8, and 10 with the same number of divisors. The next record is of 60, with 6 largely composite numbers, 60, 72, 84, 90, 96, and 108, with the same number of divisors.
MATHEMATICA
s = {}; dm = 1; c = 0; cm = 0; nprev = 1; Do[d = DivisorSigma[0, n]; If[d == dm, c++]; If[d > dm, dm = d; If[c > cm, cm = c; AppendTo[s, nprev]]; c = 1; nprev = n], {n, 1, 10^3}]; s
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Jun 06 2019
STATUS
approved