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Search: id:A082576
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| A082576 |
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Numbers n such that n^n has final digits the same as all digits of n. |
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+0
1
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| 1, 5, 6, 9, 11, 16, 21, 25, 31, 36, 41, 49, 51, 56, 57, 61, 71, 75, 76, 81, 91, 93, 96, 99, 101, 125, 151, 176, 193, 201, 249, 251, 301, 351, 375, 376, 401, 451, 499, 501, 551, 557, 576, 601, 625, 651, 693, 701, 749, 751, 776, 801, 851, 875, 901, 951, 976, 999
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Suggested by Herb Conn, HCR 83, Box 93, Custer, SD 57730
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LINKS
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Index entries for sequences related to automorphic numbers
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EXAMPLE
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9^9 = 387420489 ends in 9; 31^31 = 17069174130723235958610643029059314756044734431 ends in 31.
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PROGRAM
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(PARI) for (d = 1, 4, for (i = 10^(d - 1), 10^d - 1, x = Mod(i, 10^d); if (x^i == x, print(i)))) - David Wasserman (dwasserm(AT)earthlink.net), Oct 27 2006
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CROSSREFS
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Sequence in context: A117827 A134736 A137859 this_sequence A074185 A047438 A117951
Adjacent sequences: A082573 A082574 A082575 this_sequence A082577 A082578 A082579
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KEYWORD
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nonn,base
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), May 07 2003
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EXTENSIONS
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More terms from David Wasserman (dwasserm(AT)earthlink.net), Oct 27 2006
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