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 A045537 Least nontrivial exponent e such that n is a substring of n^e. 13
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Reinhard Zumkeller and Zak Seidov, Table of n, a(n) for n = 0..10000. Terms up to a(1000) from Reinhard Zumkeller. Code Golf StackExchange, Self-contained powers, coding challenge started Nov 28 2018. Index entries for sequences related to automorphic numbers FORMULA n^a(n) = A104782(n). MATHEMATICA 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 *) PROG (Haskell) import Data.List (isInfixOf) a045537 n = 2 + length (takeWhile (not . ((show n) `isInfixOf`) . show) \$ iterate (* n) (n^2)) -- Reinhard Zumkeller, Sep 29 2011 (PARI) a(n) = my(s = Str(n), k=2); while (#strsplit(Str(n^k), s) == 1, k++); k; \\ Michel Marcus, Jun 04 2024 CROSSREFS Cf. A051248, A070327, A104782. Sequence in context: A357123 A253600 A373203 * A243941 A161622 A116559 Adjacent sequences: A045534 A045535 A045536 * A045538 A045539 A045540 KEYWORD base,nonn AUTHOR Erich Friedman STATUS approved

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Last modified September 9 01:17 EDT 2024. Contains 375759 sequences. (Running on oeis4.)