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Search: id:A134581
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A134581 a(n)=4a(n-1)-7a(n-2)+6a(n-3)-3a(n-4). +0
2
0, 1, 2, 3, 4, 4, 0, -13, -40, -81, -122, -122, 0, 365, 1094, 2187, 3280, 3280, 0, -9841, -29524, -59049, -88574, -88574, 0, 265721, 797162, 1594323, 2391484, 2391484, 0, -7174453, -21523360, -43046721, -64570082, -64570082, 0 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=-(1/6)*I*{3/2+(1/2)*I*sqrt(3)}^n*sqrt(3)+(1/6)*I*sqrt(3)*{3/2-(1/2)*I*sqrt(3)}^n +(1/6)*I*{1/2-(1/2)*I*sqrt(3)}^n*sqrt(3)-(1/6*I*{1/2+(1/2)*I*sqrt(3)}^n*sqrt(3), with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jun 09 2008

G.f.: x*(1-2*x+2*x^2)/((1-x+x^2)*(1-3*x+3*x^2)) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Aug 30 2009]

CROSSREFS

Sequence in context: A009492 A009810 A111362 this_sequence A099587 A160386 A014292

Adjacent sequences: A134578 A134579 A134580 this_sequence A134582 A134583 A134584

KEYWORD

sign

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Jan 23 2008

EXTENSIONS

More terms from Stuart Clary (clary(AT)uakron.edu), Aug 20 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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