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A338128 a(n) is the least k > 1 such that the base n representation of k^k ends with that of k. 3
3, 4, 3, 6, 3, 4, 3, 4, 5, 12, 3, 5, 4, 5, 5, 9, 4, 7, 5, 4, 11, 12, 3, 6, 5, 10, 4, 17, 5, 16, 9, 11, 9, 13, 4, 10, 7, 5, 5, 9, 4, 7, 11, 9, 12, 24, 5, 8, 6, 9, 5, 54, 10, 11, 7, 7, 17, 60, 5, 13, 16, 4, 9, 5, 11, 37, 9, 12, 13, 36, 7, 37, 10, 6, 7, 16, 5, 27 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Rémy Sigrist, Table of n, a(n) for n = 2..10000

Index entries for sequences related to automorphic numbers

FORMULA

a(n) <= n+1 with equality iff n belongs to A065296.

EXAMPLE

a(10) = A082576(2) = 5.

PROG

(PARI) a(n) = for (k=2, oo, if (Mod(k, n^#digits(k, n))^k==k, return (k)))

CROSSREFS

Cf. A065296, A082576.

Sequence in context: A332880 A281626 A327650 * A242801 A021295 A061112

Adjacent sequences:  A338125 A338126 A338127 * A338129 A338130 A338131

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Oct 11 2020

STATUS

approved

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Last modified September 21 21:32 EDT 2021. Contains 347605 sequences. (Running on oeis4.)