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%I #8 Jan 08 2018 01:47:47
%S 1,10,1000,7776,27100,73440,95120,500499,505791,540539,598697,665335,
%T 697598,732347,7607610,37944478,46945205,54995500,55216205,56607166,
%U 58106906,63136413,66595563,68167738,68807564,69188525,70667477,72197730,73197730,74145807
%N "Kaprekar quintuples": digits of X^5 taken D at a time sum to X (where D is number of digits in X.)
%C Referred to as "natural" Kaprekar numbers on Munafo webpage because A[n] and the 5 pieces of A[n}^5 must all have the same number of digits (some of which can be leading zeros). Analogous to A053816 for squares, as opposed to A006886 and A045913 which allow irregular divisions.
%H Robert Gerbicz, <a href="/A171500/b171500.txt">Table of n, a(n) for n = 1..26397</a>
%H R. Munafo, <a href="http://www.mrob.com/pub/math/seq-kaprekar.html">Kaprekar Sequences</a>
%e 7776^5 = 28430288029929701376 ; 2843+0288+0299+2970+1376 = 7776. 27100^5 = 14616603103510000000000 ; 146+16603+10351+00000+00000 = 27100.
%Y Cf. A006886, A006887, A045913, A053816, A171493
%K base,nonn
%O 1,2
%A _Robert Munafo_, Dec 10 2009
%E More terms from _Robert Gerbicz_, Jul 28 2011
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