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A130151 Hexaperiodic sequence: repeat 1 1 1 -1 -1 -1 . +0
4
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, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1 (list; graph; listen)
OFFSET

0,1

COMMENT

a(n)=3a(n-1)-a(n-3)+3a(n-4). - Paul Curtz (bpcrtz(AT)free.fr), Nov 22 2007

FORMULA

a(0)=a(1)=a(2)=-a(3)=-a(4)=-a(5)=1, a(n+6)=a(n) n=0,1.. .

a(n)=(1/3)*{-(n mod 6)+[(n+3) mod 6]}, with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Aug 28 2007

a(n) = ((-1)^n * (4 * (cos((2*n + 1)*Pi/3) + cos(n*Pi)) + 1) - 4) / 3. - Federico Acha Neckar (f0383864(AT)hotmail.com), Sep 01 2007

a(n) = (-1)^n * (4 * cos((2*n + 1) * Pi/3) + 1) / 3. - Federico Acha Neckar (f0383864(AT)hotmail.com), Sep 02 2007

G.f.: (1+x+x^2)/(1+x)/(x^2-x+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007

CROSSREFS

Cf. A131561.

Cf. A131531.

Sequence in context: A112865 A121241 A122188 this_sequence A131561 A065357 A071935

Adjacent sequences: A130148 A130149 A130150 this_sequence A130152 A130153 A130154

KEYWORD

sign

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Aug 03 2007

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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