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%I #13 Jul 18 2018 02:19:11
%S 1,4,9,20,25,36,49,112,99,100,151,180,169,196,225,704,289,396,361,500,
%T 441,604,529,1008,1625,676,1377,980,841,900,1951,4864,1359,1156,1225,
%U 1980,1369,1444,1521,2800,601,1764,1849,3020,2475,2116,2209,6336,2695,6500,2601
%N Number of solutions to x^5 + y^5 = z^5 mod n.
%C Equivalently, the number of solutions to x^5 + y^5 + z^5 == 0 (mod n). - _Andrew Howroyd_, Jul 17 2018
%H Seiichi Manyama, <a href="/A288100/b288100.txt">Table of n, a(n) for n = 1..1000</a>
%o (PARI) a(n)={my(p=Mod(sum(i=0, n-1, x^lift(Mod(i,n)^5)), 1-x^n)); polcoeff(lift(p^3), 0)} \\ _Andrew Howroyd_, Jul 17 2018
%Y Number of solutions to x^k + y^k = z^k mod n: A062775 (k=2), A063454 (k=3), A288099 (k=4), this sequence (k=5), A288101 (k=6), A288102 (k=7), A288103 (k=8), A288104 (k=9), A288105 (k=10).
%K nonn,mult
%O 1,2
%A _Seiichi Manyama_, Jun 05 2017
%E Keyword:mult added by _Andrew Howroyd_, Jul 17 2018
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