A011620 Legendre symbol (n,191).

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

Offset

0,1

References

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 68.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, order 190.

Formula

From Jianing Song, Jun 12 2026: (Start)

a(n) == n^95 (mod 191).

Recurrence: a(n) = -a(n-1) - a(n-2) - .... - a(n-190). (End)

Mathematica

JacobiSymbol[Range[0, 100], 191] (* Paolo Xausa, Nov 10 2025 *)

Prog

(PARI) a(n) = kronecker(n, 191) \\ Jianing Song, Jun 12 2026

Crossrefs

Legendre symbols mod p: A102283 (p=3), A080891 (p=5), A175629 (p=7), A011582-A011631 (p=11-251), A165573 (p=257), A165574 (p=263).

Sequence in context: A011617 A011618 A011619 * A011621 A011622 A011623

Adjacent sequences: A011617 A011618 A011619 * A011621 A011622 A011623

Keyword

sign,mult,easy,changed

Author

N. J. A. Sloane

Status

approved