A288099 Number of solutions to x^4 + y^4 = z^4 mod n.

1, 4, 9, 24, 33, 36, 49, 192, 99, 132, 121, 216, 97, 196, 297, 1536, 193, 396, 361, 792, 441, 484, 529, 1728, 925, 388, 1377, 1176, 1121, 1188, 961, 6144, 1089, 772, 1617, 2376, 1441, 1444, 873, 6336, 481, 1764, 1849, 2904, 3267, 2116, 2209, 13824, 2695, 3700, 1737

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)^4)), 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), this sequence (k=4), A288100 (k=5), A288101 (k=6), A288102 (k=7), A288103 (k=8), A288104 (k=9), A288105 (k=10).

Sequence in context: A270450 A270461 A046422 * A288103 A286729 A159068

Adjacent sequences: A288096 A288097 A288098 * A288100 A288101 A288102

Keyword

nonn,mult

Author

Seiichi Manyama, Jun 05 2017

Extensions

Keyword:mult added by Andrew Howroyd, Jul 17 2018

Status

approved