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A118936 Sub-Kaprekar numbers: n such that n=|q-r| and n^2=q*10^m+r, for some m>=1, q>=0, 0<=r<10^m, with n 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. 1287^2 = 1656369 and |1656-369| = 1287.

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 March 29 05:39 EDT 2020. Contains 333105 sequences. (Running on oeis4.)