|
| |
|
|
A134581
|
|
a(n)=4a(n-1)-7a(n-2)+6a(n-3)-3a(n-4).
|
|
1
| |
|
|
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; refs; listen; history; internal format)
|
|
|
|
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 (paoloplava(AT)gmail.com), 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 * A099587 A172160 A171170
Adjacent sequences: A134578 A134579 A134580 * 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
|
| |
|
|
