A364930 Products of primorials that are squareful but not prime powers.

36, 72, 144, 216, 288, 432, 576, 864, 900, 1152, 1296, 1728, 1800, 2304, 2592, 3456, 3600, 4608, 5184, 5400, 6912, 7200, 7776, 9216, 10368, 10800, 13824, 14400, 15552, 18432, 20736, 21600, 27000, 27648, 28800, 31104, 32400, 36864, 41472, 43200, 44100, 46656, 54000

Offset

1,1

Comments

Proper subset of A055932.

Proper subset of A364710; contains k in {A025487 \ {A000079 U A002110}} that are not in A332785.

The only highly composite term is 36.

Links

Michael De Vlieger, Table of n, a(n) for n = 1..15402 (All terms k <= A002110(16))

Formula

This sequence is A364710 \ A332785.

Intersection of A025487 and A286708.

Mathematica

(* Load May 19 2018 function f at A025487, then run the following: *)
Select[Union@ Flatten@ f[k], And[PrimeOmega[#] > PrimeNu[#] > 1, AllTrue[FactorInteger[#][[All, -1]], # > 1 &] ] &]

Crossrefs

Cf. A000079, A001694, A002110, A025487, A126706, A286708, A332785, A364710.

Sequence in context: A339979 A322657 A391139 * A339980 A347892 A066216

Adjacent sequences: A364927 A364928 A364929 * A364931 A364932 A364933

Keyword

nonn,easy

Author

Michael De Vlieger, Dec 12 2023

Status

approved