

A325839


Exponentiallyodd highly composite numbers: numbers with record values of the number of exponentially odd divisors (A325837).


1



1, 8, 32, 128, 512, 864, 3456, 7776, 13824, 31104, 124416, 279936, 497664, 1119744, 1990656, 3888000, 10077696, 15552000, 34992000, 62208000, 139968000, 248832000, 388800000, 559872000, 1259712000, 1555200000, 2239488000, 3499200000, 6220800000, 8957952000
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OFFSET

1,2


COMMENTS

The corresponding record numbers of exponentiallyodd divisors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 21, 24, 25, 30, 32, 36, 40, 42, 45, 48, 50, 54, 56, 60, 63, 64, ... (see the link for more terms).
The even version of this sequence is A046952 which is the sequence of numbers with record number of square divisors (only even exponents, A046951).


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..290
Amiram Eldar, Table of n, a(n), A325837(a(n)) for n = 1..290


MATHEMATICA

fun[p_, e_] := Floor[(e+1)/2]; a[n_] := Times@@(fun@@@FactorInteger[n]); am = 0; s={}; Do[a1=a[n]; If[a1>am, am=a1; AppendTo[s, n]], {n, 1, 300000}]; s


CROSSREFS

Cf. A033634, A046951, A046952, A268335, A325837.
Subsequence of A025487.
Sequence in context: A234272 A269077 A183915 * A081654 A307004 A264280
Adjacent sequences: A325836 A325837 A325838 * A325840 A325841 A325842


KEYWORD

nonn


AUTHOR

Amiram Eldar, Sep 07 2019


STATUS

approved



