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 A011583 Legendre symbol (n,13). 11
 0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 0, 1, -1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Since 13 is an odd prime, this is the same as the Jacobi symbol (n,13). - Robert Israel, Jun 29 2017 REFERENCES G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 68. LINKS Index entries for linear recurrences with constant coefficients, signature (-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1). FORMULA G.f.: (x+x^3+2*x^4+x^5-x^7-2*x^8-x^9-x^11) / (1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12). - Robert Israel, Jun 29 2017 MAPLE seq(numtheory:-legendre(n, 13), n=0..80); # Robert Israel, Jun 29 2017 MATHEMATICA Table[JacobiSymbol[n, 13], {n, 0, 80}] (* Jean-François Alcover, May 17 2017 *) PROG (PARI) A011583(n) = kronecker(n, 13) ; for(n=0, 20, print1(A011583(n)", ") ); /* R. J. Mathar, Feb 25 2012 */ CROSSREFS Sequence in context: A011582 A145568 A168185 * A011584 A011585 A267084 Adjacent sequences:  A011580 A011581 A011582 * A011584 A011585 A011586 KEYWORD sign,mult AUTHOR STATUS approved

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Last modified May 6 12:16 EDT 2021. Contains 343582 sequences. (Running on oeis4.)