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 A118936 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. 4
 11, 78, 101, 287, 364, 1001, 1078, 1096, 1287, 1364, 10001, 11096, 18183, 100001, 118183, 336634, 1000001, 1336634, 2727274, 10000001, 12727274, 19138757, 23529412, 25974026, 97744361, 100000001, 120879122, 123529412, 140017878 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Union of A118937 and A118938. LINKS Table of n, a(n) for n=1..29. EXAMPLE 287^2 = 82369 and |82 - 369| = 287, so 287 is a term. 1287^2 = 1656369 and |1656 - 369| = 1287, so 1287 is a term. MATHEMATICA 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] CROSSREFS Cf. A006886, A118937, A118938. Sequence in context: A322877 A226708 A206529 * A041224 A030054 A225896 Adjacent sequences: A118933 A118934 A118935 * A118937 A118938 A118939 KEYWORD base,nonn AUTHOR Giovanni Resta, May 06 2006; corrected May 12 2006 STATUS approved

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Last modified September 9 09:37 EDT 2024. Contains 375764 sequences. (Running on oeis4.)