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

1,3

Comments

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

Links

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

Example

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

Crossrefs

Cf. A000005, A000142, A036438, A038040.

Sequence in context: A065798 A082671 A353568 * A059877 A047307 A179774

Adjacent sequences: A364143 A364144 A364145 * A364147 A364148 A364149

Keyword

nonn

Author

Max Alekseyev, Jul 10 2023

Status

approved