|
|
A288100
|
|
Number of solutions to x^5 + y^5 = z^5 mod n.
|
|
9
|
|
|
1, 4, 9, 20, 25, 36, 49, 112, 99, 100, 151, 180, 169, 196, 225, 704, 289, 396, 361, 500, 441, 604, 529, 1008, 1625, 676, 1377, 980, 841, 900, 1951, 4864, 1359, 1156, 1225, 1980, 1369, 1444, 1521, 2800, 601, 1764, 1849, 3020, 2475, 2116, 2209, 6336, 2695, 6500, 2601
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Equivalently, the number of solutions to x^5 + y^5 + z^5 == 0 (mod n). - Andrew Howroyd, Jul 17 2018
|
|
LINKS
|
|
|
PROG
|
(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
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,mult
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|