cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A140604 Least nontrivial number k such that the sum of the digits of k^k (mod k) == n.

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%I A140604 #6 Aug 28 2016 18:23:42
%S A140604 1,4,55,6,7,8,12,2236,11,15,14,20,21,17,274,35,22,44,36,82,73,41,29,
%T A140604 28,26,115,85,98,2054,31,46,502,40,39,79,3248,45,38,128,64,511,80,183,
%U A140604 83,76,47,127,176,52,70,190,57,65,425,63,56,95,59,10327,794,1248,89,410,69
%N A140604 Least nontrivial number k such that the sum of the digits of k^k (mod k) == n.
%H A140604 Robert G. Wilson v, <a href="/A140604/b140604.txt">Table of n, a(n) for n = 0..1000</a>.
%e A140604 1^1 (mod 1)==0; 4^4=256 so 13 (mod 4)==1; 55^55=... so 442 (mod 55)==2, 6^6=46656 so 27 (mod 6)==3; etc.
%t A140604 t = Table[0, {101}]; Do[ a = Mod[Plus @@ IntegerDigits[n^n], n]; If[a < 101 && t[[a + 1]] == 0, t[[a + 1]] = n; Print[{a, n}]], {n, 10000}]
%Y A140604 Cf. A108827, A125526, A125724, A108825.
%K A140604 base,nonn
%O A140604 0,2
%A A140604 _Robert G. Wilson v_, May 17 2008