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A263013 a(0) = -a(1) = a(2) = 1, a(n) = 0 for n>2. 1
1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

LINKS

Table of n, a(n) for n=0..85.

FORMULA

Euler transform of length 6 sequence [ -1, 1, 1, 0, 0, -1].

Given g.f. A(x), then B(q) = A(q) / q  satisfies 0 = f(B(q), B(q^2)) where f(u, v) = 2 + v - u * (u + 2).

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

a(n) = (-1)^n * A130716(n).

G.f. is the sixth cyclotomic polynomial.

Convolution inverse is A010892.

EXAMPLE

G.f. = 1 - x + x^2.

G.f. = 1/q - 1 + q.

PROG

(PARI) {a(n) = (-1)^n * (n>=0 && n<=2)};

CROSSREFS

Cf. A010892, A130716.

Sequence in context: A188395 A266678 A267936 * A130716 A014102 A014195

Adjacent sequences:  A263010 A263011 A263012 * A263014 A263015 A263016

KEYWORD

sign

AUTHOR

Michael Somos, Oct 07 2015

STATUS

approved

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Last modified April 21 07:53 EDT 2019. Contains 322327 sequences. (Running on oeis4.)