A260190 - OEIS

A260190

Kronecker symbol(-6 / 2*n + 1).

1, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 1

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OFFSET

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (0,1,0,-1).

FORMULA

Euler transform of length 12 sequence [ 0, 1, 1, -1, 0, -2, 0, 0, 0, 0, 0, 1].

G.f.: (1 + x^3) / (1 - x^2 + x^4).

G.f.: 1 / (1 - x^2 / (1 - x / (1 + 2*x / ( 1 - x / (1 - x / (1 + x)))))).

a(n) = (-1)^n * a(n+3) = -a(n+6) = a(5-n) = a(n+2) - a(n+4) for all n in Z.

a(n) = A117441(n-2) = (-1)^n * A260192(n) = (-1)^n * A117441(n+1) = A109017(2*n + 1). a(n) + a(n+1) = A214438(n-1).

a(2*n) = A010892(n). a(3*n + 1) = 0. a(3*n) = a(3*n + 2) = A057077(n).