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A006887 Kaprekar triples: q such that q=x+y+z and q^3=x*10^2n + y*10^n + z, where z < 10^n and n is the number of digits in q. q is not a power of 10 (except q=1)
(Formerly M4478)
4

%I M4478

%S 1,8,45,297,2322,2728,4445,4544,4949,5049,5455,5554,7172,27100,44443,

%T 55556,60434,77778,143857,208494,226071,279720,313390,324675,329967,

%U 346060,368928,395604,422577,427868,461539,472823,478115,488214,494208

%N Kaprekar triples: q such that q=x+y+z and q^3=x*10^2n + y*10^n + z, where z < 10^n and n is the number of digits in q. q is not a power of 10 (except q=1)

%D Douglas E. Iannucci and Bertrum Foster, Kaprekar Triples, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.8.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%D D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, 151.

%H R. Munafo, <a href="http://www.mrob.com/pub/math/seq-kaprekar.html">Kaprekar Sequences</a>

%K nonn,base

%O 1,2

%A _Robert Munafo_

%E Entry revised by Larry Reeves (larryr(AT)acm.org), Apr 25 2001 and Dec 08, 2002

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Last modified May 25 22:30 EDT 2013. Contains 225649 sequences.