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A045537
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Least nontrivial exponent e such that n is a substring of n^e.
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13
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2, 2, 5, 5, 3, 2, 2, 5, 5, 3, 2, 11, 14, 10, 8, 26, 6, 17, 5, 11, 5, 6, 10, 15, 3, 2, 19, 15, 7, 8, 5, 11, 3, 14, 14, 10, 6, 10, 6, 11, 3, 6, 18, 5, 11, 5, 18, 9, 5, 3, 2, 3, 7, 16, 17, 11, 3, 5, 9, 11, 2, 6, 7, 7, 11, 17, 15, 8, 5, 11, 5, 9, 8, 5, 8, 3, 2, 16, 21, 11, 5, 6, 14, 4, 11, 22, 22, 7
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OFFSET
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0,1
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LINKS
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FORMULA
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MATHEMATICA
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f[n_] := Block[{k = 2}, While[ StringPosition[ ToString[n^k], ToString[n]] == {}, k++ ]; k]; Table[ f[n], {n, 0, 87}] (* Robert G. Wilson v, May 09 2005 *)
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PROG
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(Haskell)
import Data.List (isInfixOf)
a045537 n = 2 + length
(takeWhile (not . ((show n) `isInfixOf`) . show) $ iterate (* n) (n^2))
(PARI) a(n) = my(s = Str(n), k=2); while (#strsplit(Str(n^k), s) == 1, k++); k; \\ Michel Marcus, Jun 04 2024
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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