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A031193 Numbers having period-22 5-digitized sequences. 0

%I #18 Jan 30 2022 15:56:12

%S 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,

%T 75,78,81,84,87,90,93,96,99,102,105,108,111,114,117,120,123,126,129,

%U 132,135,138,141,144,147,150,153,156,159,162,165,168,171,174

%N Numbers having period-22 5-digitized sequences.

%C 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

%C 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

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/NonRecursions.html">Non Recursions</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Digitaddition.html">Digitaddition</a>

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

%K nonn,base

%O 1,1

%A _Eric W. Weisstein_

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)