Search: id:A006886
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%I A006886 M4625
%S A006886 1,9,45,55,99,297,703,999,2223,2728,4879,4950,5050,5292,7272,7777,9999,
%T A006886 17344,22222,38962,77778,82656,95121,99999,142857,148149,181819,187110,
%U A006886 208495,318682,329967,351352,356643,390313,461539,466830,499500,500500,
               533170
%N A006886 Kaprekar numbers: n such that n=q+r and n^2=q*10^m+r, for some m >= 1, 
               q>=0 and 0<=r<10^m, with n != 10^a, a>=1.
%C A006886 4879 and 5292 are in this sequence but not in A053816.
%D A006886 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006886 D. Kaprekar, On Kaprekar numbers, J. Rec. Math., 13 (1980-1981), 81-82.
%D A006886 Douglas E. Iannucci and Bertrum Foster, Kaprekar Triples, Journal of 
               Integer Sequences, Vol. 8 (2005), Article 05.4.8.
%D A006886 D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. 
               Penguin Books, NY, 1986, 151.
%H A006886 T. D. Noe, <a href="b006886.txt">Table of n, a(n) for n=1..1019</a>
%H A006886 D. E. Iannucci, Journal of Integer Sequences, Vol. 3, 2000, #1.2, <a 
               href="http://www.cs.uwaterloo.ca/journals/JIS/VOL3/iann2a.html">The 
               Kaprekar Numbers</a>
%H A006886 W. Schneider, <a href="http://www.wschnei.de/digit-related-numbers/kaprekar-numbers.html">
               Kaprekar Numbers</a>
%H A006886 G. Villemin's Almanach of Numbers, <a href="http://www.multimania.com/
               villemingerard/Iteration/Kaprekar.htm">Procede de Kaprekar</a>
%H A006886 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               KaprekarNumber.html">Link to a section of The World of Mathematics.</
               a>
%e A006886 703 is Kaprekar because 703=494+209, 703^2=494209.
%Y A006886 See A053816 for another version.
%Y A006886 Cf. A037042, A053394, A053395, A053396, A053397, A045913, A003052.
%Y A006886 Sequence in context: A124983 A087969 A044111 this_sequence A053816 A044492 
               A067536
%Y A006886 Adjacent sequences: A006883 A006884 A006885 this_sequence A006887 A006888 
               A006889
%K A006886 nonn,nice,base,easy
%O A006886 1,2
%A A006886 mrob(AT)mrob.com (Robert P Munafo)
%E A006886 More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) Apr 11 2001
%E A006886 4879 and 5292 added by Larry Reeves (larryr(AT)acm.org), Apr 24, 2001
%E A006886 38962 added by Larry Reeves (larryr(AT)acm.org), May 23 2002

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