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

Author

Michael De Vlieger, Dec 12 2023

Keywords

• nonn
• easy

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))

Crossrefs

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

Programs

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 &] ] &]

Formula

This sequence is A364710 \ A332785.

Intersection of A025487 and A286708.