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A131743 Period 4: repeat 0, 1, 0, 2. +0
1
0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0 (list; graph; listen)
OFFSET

0,4

FORMULA

a(n)=(1/8)*{5*(n mod 4)-3*[(n+1) mod 4]+3*[(n+2) mod 4]-[(n+3) mod 4]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Oct 02 2007

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

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

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

CROSSREFS

Sequence in context: A035177 A070105 A111397 this_sequence A147648 A113686 A039997

Adjacent sequences: A131740 A131741 A131742 this_sequence A131744 A131745 A131746

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Sep 20 2007

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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