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A068407 Automorphic numbers: numbers n such that n^5 ends with n. Also m-morphic numbers for all m>5 such that m-1 is not divisible by 10 and m==1 (mod 4) 2
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 24, 25, 32, 43, 49, 51, 57, 68, 75, 76, 93, 99, 125, 193, 249, 251, 307, 375, 376, 432, 443, 499, 501, 557, 568, 624, 625, 693, 749, 751, 807, 875, 943, 999, 1249, 1251, 1693, 1875, 2057, 2499, 2501, 2943, 3125, 3307, 3568, 3749, 3751 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

LINKS

Index entries for sequences related to automorphic numbers

EXAMPLE

13568 is a member because 13568^5 = 459810807237016813568 ends with 13568.

MATHEMATICA

Select[Range[0, 100000], PowerMod[#, 5, 10^IntegerLength[#]]==#&] (* From Harvey P. Dale, Nov 04 2011 *)

CROSSREFS

Cf. A003226, A033819.

Sequence in context: A198044 A133134 A133505 * A117732 A116960 A126957

Adjacent sequences:  A068404 A068405 A068406 * A068408 A068409 A068410

KEYWORD

nonn,base

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 08 2002

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Last modified February 16 06:27 EST 2012. Contains 205860 sequences.