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%I A157714 #8 Jun 09 2016 13:40:16
%S A157714 136,160,217,244,259,352,496,586,664,736,853,862,1009,2178,2929,3233,
%T A157714 3283,4274,4394,6514,6562,7154,10933,13154,18829,50062,58618,59536,
%U A157714 73318,76438,124618,282595,312962,329340,376761,537059,578955,681069
%N A157714 Base-10 pseudo-altruistic numbers
%C A157714 These integers reoccur (with a period greater than 1) upon the iteration of raising every digit to the power of the number's length and summing.
%C A157714 If the reoccurrence is immediate (period 1), the numbers are (instead) narcissistic (A005188).
%H A157714 Hans Havermann, <a href="/A157714/b157714.txt">Table of n, a(n) for n=1..265</a>
%H A157714 E. Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/RecurDigit.htm">A Recurring Digital Invariant variant</a>
%H A157714 E. Angelini, <a href="/A151543/a151543.pdf">A Recurring Digital Invariant Variant</a> [Cached, with permission]
%H A157714 H. Havermann, <a href="http://chesswanks.com/blahg/odo/Blog/Entries/2009/2/27_Self-serving_altruistic_numbers.html">Self-serving altruistic numbers</a>
%H A157714 H. Havermann, <a href="/A157714/a157714.png">Self-serving altruistic numbers</a> [Cached copy, with permission]
%e A157714 2929 is pseudo-altruistic because 2929 -> 13154 (2^4 + 9^4 + 2^4 + 9^4) -> 4394 (1^5 + 3^5 + 1^5 + 5^5 + 4^5) -> 7154 (4^4 + 3^4 + 9^4 + 4^4) -> 3283 (7^4 + 1^4 + 5^4 + 4^4) -> 4274 (3^4 + 2^4 + 8^4 + 3^4) -> 2929 (4^4 + 2^4 + 7^4 + 4^4).
%Y A157714 Cf. A005188. The "Recurring Digital Invariant Variant" is described in more detail in A151543.
%K A157714 base,nonn,fini
%O A157714 1,1
%A A157714 _Hans Havermann_, Mar 04 2009

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