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Search: id:A063709
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| A063709 |
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Remainder when n^n is divided by n!. |
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+0
2
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| 0, 0, 0, 3, 16, 5, 576, 2023, 4096, 227529, 2656000, 26301011, 443667456, 5268921853, 294332416, 820814907375, 19909425135616, 225992064764177, 5838869363687424, 43054524724611979, 296380418621440000
(list; graph; listen)
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OFFSET
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0,4
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,100
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EXAMPLE
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a(7) = 2023 because 7^7 = 2023 (mod 7!)
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MATHEMATICA
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Table[PowerMod[n, n, n! ], {n, 24}]
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PROGRAM
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(PARI) for(n=0, 22, print(Mod(n^n, n!)))
(PARI) { for (n=0, 100, write("b063709.txt", n, " ", n^n % n!) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 28 2009]
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CROSSREFS
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Sequence in context: A165969 A098373 A054793 this_sequence A076623 A068516 A032922
Adjacent sequences: A063706 A063707 A063708 this_sequence A063710 A063711 A063712
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KEYWORD
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easy,nonn
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AUTHOR
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Axel Harvey (ax(AT)hirsig.ca), Aug 23 2001
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EXTENSIONS
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Corrected and extended by a number of contributors, Aug 24, 2001
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