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A337612
Positive integers m such that A126289^k(m) = m for some positive integer k.
4
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
1,2
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.
FORMULA
For any term m, gcd {m, A126289(m), A126289(A126289(m)), ...} = A052126(m).
EXAMPLE
6 is a term since A126289(A126289(6)) = A126289(10) = 6.
CROSSREFS
KEYWORD
nonn
AUTHOR
Ely Golden, Oct 06 2020
STATUS
approved