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%I A063709 #16 May 09 2023 08:56:28
%S A063709 0,0,0,3,16,5,576,2023,4096,227529,2656000,26301011,443667456,
%T A063709 5268921853,294332416,820814907375,19909425135616,225992064764177,
%U A063709 5838869363687424,43054524724611979,296380418621440000
%N A063709 Remainder when n^n is divided by n!.
%H A063709 Harry J. Smith, <a href="/A063709/b063709.txt">Table of n, a(n) for n=0..100</a>
%e A063709 a(7) = 2023 because 7^7 = 2023 (mod 7!).
%t A063709 Table[PowerMod[n, n, n! ], {n, 24}]
%o A063709 (PARI) for(n=0,22,print(Mod(n^n,n!)))
%o A063709 (PARI) { for (n=0, 100, write("b063709.txt", n, " ", n^n % n!) ) } \\ _Harry J. Smith_, Aug 28 2009
%Y A063709 Cf. A000142, A000312.
%K A063709 easy,nonn
%O A063709 0,4
%A A063709 _Axel Harvey_, Aug 23 2001
%E A063709 Corrected and extended by a number of contributors, Aug 24 2001

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