A124177 Consider the map f that sends m to m + (sum of even digits of m) - (sum of odd digits of m). Sequence gives numbers m such that f^(k)(m) = m for some k.

0, 22, 26, 27, 34, 35, 44, 49, 52, 63, 66, 78, 79, 81, 88, 99, 104, 107, 108, 112, 115, 121, 126, 133, 134, 143, 144, 151, 156, 165, 178, 187, 211, 224, 229, 232, 233, 283, 290, 314, 336, 341, 358, 363, 385, 413, 431, 467, 470, 489, 492, 516, 538, 561, 583, 615

Offset

1,2

Comments

Terms computed by Theunis de Jong.

Subsequence A036301 lists fixed points of the map f = A304440. - M. F. Hasler, May 18 2018

Links

Eric Angelini, Table of n, a(n) for n = 1..182

Eric Angelini, Self-loopers.

Example

26 and 27 loop on themselves, but 28 doesn't.
26 -> 34 -> 35 -> 27 -> 22 -> 26
27 -> 22 -> 26 -> 34 -> 35 -> 27
28 -> 38 -> 43 -> 44 -> 52 -> 49 -> 44.

Prog

(PARI) is(n, S=List())={until(setsearch(Set(S), n=A304440(n)), listput(S, n)); n==S[1]} \\ M. F. Hasler, May 18 2018

Crossrefs

Cf. A124176, A036301, A304439, A304440, A071650, A071648, A071649.

Sequence in context: A303304 A234540 A352158 * A260990 A260991 A160078

Adjacent sequences: A124174 A124175 A124176 * A124178 A124179 A124180

Keyword

base,easy,nonn

Author

Eric Angelini, Dec 04 2006

Status

approved