%I A045913
%S A045913 1,9,10,45,55,99,100,297,703,999,1000,2223,2728,4950,5050,7272,7777,
%T A045913 9999,10000,17344,22222,77778,82656,95121,99999,100000,142857,148149,
%U A045913 181819,187110,208495,318682,329967,351352,356643,390313,461539,466830
%N A045913 Kaprekar numbers, allowing powers of 10: n such that n=q+r and n^2=q*10^m+r, 
               for some m >= 1, q>=0 and 0<=r<10^m.
%C A045913 Powers of 10 were excluded in Kaprekar's original definition (A006886).
%D A045913 D. Kaprekar, On Kaprekar numbers, J. Rec. Math., 13 (1980-1981), 81-82.
%D A045913 D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. 
               Penguin Books, NY, 1986, 151.
%H A045913 D. E. Iannucci, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">
               The Kaprekar numbers</a>, J. Integer Sequences, Vol. 3, 2000, #1.2.
%e A045913 703 is Kaprekar because 703=494+209, 703^2=494209. 100=100+0, 100^2=100^2+0.
%Y A045913 Cf. A006886, A037042, A053394, A053395, A053396, A053397, A003052.
%Y A045913 Sequence in context: A038206 A154389 A041172 this_sequence A156857 A037954 
               A041174
%Y A045913 Adjacent sequences: A045910 A045911 A045912 this_sequence A045914 A045915 
               A045916
%K A045913 nonn,nice,base,easy
%O A045913 1,2
%A A045913 N. J. A. Sloane (njas(AT)research.att.com).
%E A045913 More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) Apr 13 2001