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%I #8 Jul 17 2021 01:45:37
%S 11,78,101,287,364,1001,1078,1096,1287,1364,10001,11096,18183,100001,
%T 118183,336634,1000001,1336634,2727274,10000001,12727274,19138757,
%U 23529412,25974026,97744361,100000001,120879122,123529412,140017878
%N Sub-Kaprekar numbers: k such that k = |q - r| and k^2 = q*10^m + r, for some m >= 1, q >= 0, 0 <= r < 10^m, with k not a power of 10.
%C Union of A118937 and A118938.
%e 287^2 = 82369 and |82 - 369| = 287, so 287 is a term.
%e 1287^2 = 1656369 and |1656 - 369| = 1287, so 1287 is a term.
%t f[n_] := !IntegerQ@Log[10,n] && Block[{p = 10^Range@Log[10,n^2]}, 0 == Times@@(n-Abs[Floor[n^2/p]-Mod[n^2,p]])]; Select[Range@400000,f]
%Y Cf. A006886, A118937, A118938.
%K base,nonn
%O 1,1
%A _Giovanni Resta_, May 06 2006; corrected May 12 2006
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