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Search: id:A110815
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| A110815 |
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Least n-digit number m such that its square uses only digits not appearing in m. |
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+0
3
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| 2, 17, 144, 1447, 14144, 141494, 1414414, 14144134, 141431114, 1414411113, 14143143413, 141431113114, 1414311131114, 14143111141813, 141431113114113, 1414311344113314, 14143111141141113, 141431113114331413
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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floor(sqrt(2)*10^(n-1))<a(n). - Robert G. Wilson v (rgwv(at)rgwv.com), Oct 04 2005
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EXAMPLE
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f[n_] := Block[{k = Ceiling[10^n*(1/9 + .03032)]}, While[ Intersection[ IntegerDigits[k], IntegerDigits[k^2]] != {}, k++ ]; k]; Table[ f[n], {n, 18}] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A110816 (corresponding squares), A112321. Subsequence of A029783.
Sequence in context: A037741 A037636 A163066 this_sequence A074624 A126037 A112321
Adjacent sequences: A110812 A110813 A110814 this_sequence A110816 A110817 A110818
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KEYWORD
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nonn,base
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 17 2005
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EXTENSIONS
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a(3) to a(6) corrected, a(7) to a(13) from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 31 2005. Revised Sep 09 2005.
a(14)-a(18) from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 04 2005
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