A011613 Legendre symbol (n,151).

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 150.

Formula

From Jianing Song, Jun 12 2026: (Start)

a(n) == n^75 (mod 151).

Recurrence: a(n) = -a(n-1) - a(n-2) - .... - a(n-150). (End)

Mathematica

JacobiSymbol[Range[0, 100], 151] (* Paolo Xausa, Nov 10 2025 *)

Prog

(PARI) a(n) = kronecker(n, 151) \\ 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: A011610 A011611 A011612 * A011614 A011615 A011616

Adjacent sequences: A011610 A011611 A011612 * A011614 A011615 A011616

Keyword

sign,mult,easy,changed

Author

N. J. A. Sloane

Status

approved