A031193 Numbers having period-22 5-digitized sequences.

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168, 171, 174

Offset

1,1

Comments

This sequence consists of those n whose trajectory under the "sum of fifth power of digits" function has period 22. All elements are multiples of 3, but some multiples of 3, the least being 0 and 888, are not in the sequence. - David W. Wilson, Aug 03 2005

Multiples of 3 have period 22 (like 3), period 1 (like 888), or period 2 (like 38889). The absence of 888 from this sequence is enough to demonstrate that it is not a Beatty sequence. - Charles R Greathouse IV, Jan 27 2022

Links

Table of n, a(n) for n=1..58.

Tanya Khovanova, Non Recursions

Eric Weisstein's World of Mathematics, Digitaddition

Crossrefs

Cf. A055014 (sum of 5th powers of digits).

Sequence in context: A209258 A337244 A366847 * A296515 A008585 A008486

Adjacent sequences: A031190 A031191 A031192 * A031194 A031195 A031196

Keyword

nonn,base

Author

Eric W. Weisstein

Status

approved