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A105367

Expansion of (1-x^3)/(1-x^5).

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

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OFFSET

0,1

COMMENTS

Periodic {1,0,0,-1,0}. Partial sums of A105368. Binomial transform of A105370.

LINKS

Table of n, a(n) for n=0..86.

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

FORMULA

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

a(n) = sqrt(2/5 - 2*sqrt(5)/25)*cos(4*Pi*n/5 + 3*Pi/10) + sqrt(2/5 + 2*sqrt(5)/25)*sin(2*Pi*n/5 + 2*Pi/5).

CROSSREFS