A165573 Legendre symbol (n,257).

0, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1

Offset

0,1

Comments

257 is the 3rd Fermat prime, A019434(3).

Links

Antti Karttunen, Table of n, a(n) for n = 0..257

Index entries for periodic sequences.

Index entries for linear recurrences with constant coefficients, order 256.

Mathematica

JacobiSymbol[Range[0, 100], 257] (* Paolo Xausa, May 26 2026 *)

Prog

(PARI) a(n) = kronecker(n, 257); \\ Michel Marcus, Mar 12 2017

Crossrefs

Partial sums: A165575.

Legendre symbols mod p: A102283 (p=3), A080891 (p=5), A175629 (p=7), A011582-A011631 (p=11-251), this sequence (p=257), A165574 (p=263).

Cf. A097343, A019434.

Sequence in context: A165591 A165471 A165481 * A057428 A165574 A165581

Adjacent sequences: A165570 A165571 A165572 * A165574 A165575 A165576

Keyword

sign,mult,easy

Author

Antti Karttunen, Sep 22 2009

Status

approved