|
Search: id:A133453
|
|
|
| A133453 |
|
a(n)=3a(n-1)-a(n-3)+3a(n-4). |
|
+0
1
|
|
| 2, 4, 13, 40, 122, 365, 1094, 3280, 9841, 29524, 88574
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
FORMULA
|
O.g.f: -(2-2*x+x^2+3*x^3)/((3*x-1)*(x+1)*(x^2-x+1)) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 30 2007
a(n)=(1/6)*{1/2-(1/2)*I*sqrt(3)}^n+(3/2)*3^n+(1/6)*(-1)^n+(1/6)*{1/2+(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
|
|
CROSSREFS
|
Cf. A129339.
Adjacent sequences: A133450 A133451 A133452 this_sequence A133454 A133455 A133456
Sequence in context: A000866 A093630 A033091 this_sequence A085422 A065601 A118930
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul Curtz (bpcrtz(AT)free.fr), Nov 27 2007
|
|
|
Search completed in 0.002 seconds
|
