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A288101 Number of solutions to x^6 + y^6 = z^6 mod n. 9
1, 4, 9, 24, 25, 36, 73, 192, 243, 100, 121, 216, 217, 292, 225, 1024, 289, 972, 217, 600, 657, 484, 529, 1728, 725, 868, 2673, 1752, 841, 900, 1441, 6144, 1089, 1156, 1825, 5832, 3241, 868, 1953, 4800, 1681, 2628, 505, 2904, 6075, 2116, 2209, 9216, 3871, 2900, 2601 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..1000

PROG

(PARI) a(n)={my(p=Mod(sum(i=0, n-1, x^lift(Mod(i, n)^6)), 1-x^n)); vecsum(Vec( serconvol(lift(p^2) + O(x^n), lift(p) + O(x^n))))} \\ Andrew Howroyd, Jul 17 2018

CROSSREFS

Number of solutions to x^k + y^k = z^k mod n: A062775 (k=2), A063454 (k=3), A288099 (k=4), A288100 (k=5), this sequence (k=6), A288102 (k=7), A288103 (k=8), A288104 (k=9), A288105 (k=10).

Sequence in context: A067801 A062775 A288105 * A320913 A320059 A270450

Adjacent sequences:  A288098 A288099 A288100 * A288102 A288103 A288104

KEYWORD

mult,nonn

AUTHOR

Seiichi Manyama, Jun 05 2017

EXTENSIONS

Keyword:mult added by Andrew Howroyd, Jul 17 2018

STATUS

approved

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Last modified December 17 04:31 EST 2018. Contains 318192 sequences. (Running on oeis4.)