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A031193 Numbers having period-22 5-digitized sequences. 0
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 (list; graph; refs; listen; history; text; internal format)
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 A296515 * A008585 A008486 A135943

Adjacent sequences:  A031190 A031191 A031192 * A031194 A031195 A031196

KEYWORD

nonn,base

AUTHOR

Eric W. Weisstein

STATUS

approved

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Last modified June 28 07:25 EDT 2022. Contains 354903 sequences. (Running on oeis4.)