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A063709 Remainder when n^n is divided by n!. 4
0, 0, 0, 3, 16, 5, 576, 2023, 4096, 227529, 2656000, 26301011, 443667456, 5268921853, 294332416, 820814907375, 19909425135616, 225992064764177, 5838869363687424, 43054524724611979, 296380418621440000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Harry J. Smith, Table of n, a(n) for n=0..100

EXAMPLE

a(7) = 2023 because 7^7 = 2023 (mod 7!).

MATHEMATICA

Table[PowerMod[n, n, n! ], {n, 24}]

PROG

(PARI) for(n=0, 22, print(Mod(n^n, n!)))

(PARI) { for (n=0, 100, write("b063709.txt", n, " ", n^n % n!) ) } \\ Harry J. Smith, Aug 28 2009

CROSSREFS

Sequence in context: A165969 A098373 A054793 * A195880 A237671 A286199

Adjacent sequences:  A063706 A063707 A063708 * A063710 A063711 A063712

KEYWORD

easy,nonn

AUTHOR

Axel Harvey, Aug 23 2001

EXTENSIONS

Corrected and extended by a number of contributors, Aug 24 2001

STATUS

approved

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Last modified October 15 17:24 EDT 2019. Contains 328037 sequences. (Running on oeis4.)