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A131729 Period 4: repeat 0, 1, -1, 1 . +0
1
0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n)=(1/24)*{7*(n mod 4)-11*[(n+1) mod 4]+13*[(n+2) mod 4]-5*[(n+3) mod 4]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Oct 02 2007

G.f.: -x*(1-x+x^2)/(x-1)/(x+1)/(x^2+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 15 2007

a(n) = 1/4+(1/2)*cos(1/2*Pi*n)+3/4*(-1)^(1+n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 15 2007

a(n)=1/4+(1/4)*I^n-(3/4)*(-1)^n+(1/4)*(-I)^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jul 17 2008

CROSSREFS

Sequence in context: A098725 A046978 A075553 this_sequence A115517 A022930 A068344

Adjacent sequences: A131726 A131727 A131728 this_sequence A131730 A131731 A131732

KEYWORD

sign

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Sep 17 2007

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.


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