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A128130 Expansion of (1-x)/(1+x^4). +0
2
1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n)=(sqrt(2)/4+1/2)cos(3*pi*n/4)-sqrt(2)sin(3*pi*n/4)/4+(1/2-sqrt(2)/4)cos(pi*n/4)-sqrt(2)sin(pi*n/4)/4; a(n)=Im{sum{k=0..n, i^(n-k+1)}}, i=sqrt(-1);

a(n)=(1/8)*{-(n mod 8)+[(n+2) mod 8]-2*[(n+3) mod 8]+[(n+4) mod 8]-[(n+6) mod 8]+2*[(n+7) mod 8]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Oct 23 2007

CROSSREFS

Sequence in context: A133081 A125999 A073784 this_sequence A133872 A071026 A068434

Adjacent sequences: A128127 A128128 A128129 this_sequence A128131 A128132 A128133

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 15 2007

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


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