A337610 Positive integers m such that A126287^k(m) = m for some positive integer k.

1, 10, 15, 22, 26, 33, 34, 46, 51, 58, 65, 69, 70, 82, 86, 87, 94, 105, 106, 118, 122, 123, 130, 134, 141, 142, 146, 154, 159, 166, 177, 178, 190, 195, 202, 206, 213, 214, 215, 218, 226, 231, 238, 249, 250, 254, 262, 266, 267, 274, 285, 286, 298, 302, 303, 310

Offset: 1

Author

Ely Golden, Oct 07 2020

Keywords

• nonn
• easy

Comments

A126287^k(m) means apply A126287 to m k times.

Equivalently, the numbers that belong to a cycle under the map x -> A126287(x).

For any term m in this sequence, A126287(A126287(m)) = m.

Supersequence of A017641. Moreover, this sequence (excluding the first term) can be represented as an infinite union of arithmetic progressions.

There are no primes in this sequence.

Examples

			10 is a term since A126287(A126287(10)) = A126287(15) = 10.
		

Links

• Ely Golden, Table of n, a(n) for n = 1..10000
• Ely Golden, Python program for generating terms of this sequence

Crossrefs

Cf. A017641, A126287, A337609, A337611, A337612.