A011627 Legendre symbol (n,229).

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

Andrew Howroyd, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, order 228.

Formula

a(n) = a(n-229). - Andrew Howroyd, Nov 17 2025

From Jianing Song, Jun 12 2026: (Start)

a(n) == n^114 (mod 229).

Recurrence: a(n) = -a(n-1) - a(n-2) - .... - a(n-228). (End)

Mathematica

JacobiSymbol[Range[0, 80], 229] (* Harvey P. Dale, Feb 12 2022 *)

Prog

(PARI) a(n) = kronecker(n, 229); \\ Andrew Howroyd, Nov 17 2025

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: A011624 A011625 A011626 * A011628 A011629 A011630

Adjacent sequences: A011624 A011625 A011626 * A011628 A011629 A011630

Keyword

sign,mult,easy,changed

Author

N. J. A. Sloane

Status

approved