A364146 Numbers k such that k! belongs to A038040.

0, 1, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16, 17, 21, 22, 25, 26, 28, 29, 31, 32, 35, 36, 37, 38, 39, 40, 41, 49, 50, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 70, 71, 76, 77, 78, 79, 80, 81, 82, 83, 85, 90, 91, 92, 95, 96, 97, 98, 99, 101, 103, 106, 108, 115, 121, 122, 123, 124, 125, 126, 127

Offset: 1

Author

Max Alekseyev, Jul 10 2023

Keywords

• nonn

Comments

Numbers k such that k! = m * number of divisors of m, for some integer m.

Examples

			For k = 10, we have k! = m * A000005(m) for m = 37800 or m = 43200. Hence, 10 is a term.
		

Links

• Max Alekseyev, Table of n, a(n) for n = 1..500

Crossrefs

Cf. A000005, A000142, A036438, A038040.