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A118938 Sub-Kaprekar numbers (2): n such that n=r-q and n^2=q*10^m+r, for some m>=1, q>=0, 0<=r<10^m, with n not a power of 10. 6

%I #8 Aug 22 2013 03:13:55

%S 78,287,364,1096,18183,336634,2727274,19138757,23529412,25974026,

%T 97744361,120879122,140017878,165991904,237762239,288553552,307692308,

%U 333666334,405436669,428571430,440553516,447710186,454545455,473684212

%N Sub-Kaprekar numbers (2): n such that n=r-q and n^2=q*10^m+r, for some m>=1, q>=0, 0<=r<10^m, with n not a power of 10.

%H Hans Havermann, <a href="/A118938/b118938.txt">Table of n, a(n) for n = 1..1000</a>

%H Hans Havermann, <a href="http://chesswanks.com/seq/a118938.txt">A large number of terms pairing them with the their A118937 partners.</a>

%e 287^2 = 82369 and 369-82 = 287.

%e A larger example is 1980198021^2 = 3921184202372316441, and 2372316441-392118420 = 1980198021.

%Y Cf. A006886, A118936, A118937, A228381.

%K base,nonn

%O 1,1

%A _Giovanni Resta_, May 06 2006

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Last modified April 26 16:30 EDT 2024. Contains 372003 sequences. (Running on oeis4.)