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Search: id:A118936
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| A118936 |
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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. |
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3
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| 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
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OFFSET
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1,1
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COMMENT
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Union of A118937 and A118938.
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EXAMPLE
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287^2 = 82369 and |82-369|=287. 1287^2 = 1656369 and |1656-369| = 1287.
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MAPLE
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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]
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CROSSREFS
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Cf. A006886, A118937, A118938.
Sequence in context: A023010 A022639 A000589 this_sequence A041224 A030054 A140542
Adjacent sequences: A118933 A118934 A118935 this_sequence A118937 A118938 A118939
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KEYWORD
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base,nonn
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AUTHOR
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Giovanni Resta (g.resta(AT)iit.cnr.it), May 06 2006; corrected May 12 2006
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