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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
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
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
KEYWORD
nonn,base
STATUS
approved