A011626 Legendre symbol (n,227).

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 226.

Formula

From Jianing Song, Jun 12 2026: (Start)

a(n) == n^113 (mod 227).

Recurrence: a(n) = -a(n-1) - a(n-2) - .... - a(n-226). (End)

Mathematica

JacobiSymbol[Range[0, 100], 227] (* Paolo Xausa, Nov 11 2025 *)

Prog

(PARI) a(n) = kronecker(n, 227) \\ 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: A011623 A011624 A011625 * A011627 A011628 A011629

Adjacent sequences: A011623 A011624 A011625 * A011627 A011628 A011629

Keyword

sign,mult,easy,changed

Author

N. J. A. Sloane

Status

approved