OFFSET
1,2
COMMENTS
Analogous to highly composite numbers (A002182) with number of bi-unitary divisors (A286324) instead of number of divisors (A000005).
The first 12 terms are common with bi-unitary superabundant numbers (A292984).
The record numbers of bi-unitary divisors are 1, 2, 4, 8, 12, 16, 24, 32, 48, 64, 96, 128, 144, 192, 256, 288, 384, ... (see the link for more values).
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..122
Amiram Eldar, Table of n, a(n), A286324(a(n)) for n = 1..122
MATHEMATICA
f[p_, e_] := If[OddQ[e], (e + 1), e]; bdivnum[n_] := If[n == 1, 1, Times @@ (f @@@ FactorInteger[n])]; bm = 0; s = {}; Do[b1 = bdivnum [k]; If[b1 > bm, AppendTo[s, k]; bm = b1], {k, 1, 100000}]; s
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Oct 01 2017
EXTENSIONS
a(18)-a(30) from Amiram Eldar, Dec 01 2018
STATUS
approved