A337612 Positive integers m such that A126289^k(m) = m for some positive integer k.

1, 6, 10, 15, 20, 21, 35, 38, 42, 45, 52, 58, 63, 66, 68, 74, 76, 77, 78, 84, 85, 88, 92, 99, 110, 116, 117, 124, 130, 133, 143, 146, 153, 164, 171, 187, 189, 198, 208, 224, 228, 232, 238, 246, 247, 255, 261, 266, 268, 272, 273, 279, 282, 284, 285, 304, 312

Offset: 1

Author

Ely Golden, Oct 06 2020

Keywords

• nonn

Comments

A126289^k(m) means apply A126289 to m k times.

Equivalently, the numbers that belong to a cycle under the map x -> A126289(x).

There are no primes in this sequence.

Examples

			6 is a term since A126289(A126289(6)) = A126289(10) = 6.
		

Links

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

Crossrefs

Cf. A052126, A126289, A337609, A337610, A337611.

Formula

For any term m, gcd {m, A126289(m), A126289(A126289(m)), ...} = A052126(m).