|
Search: id:A153466
|
|
| |
|
| 232, 610, 1600, 4192, 10978, 28744, 75256, 197026, 515824, 1350448, 3535522, 9256120, 24232840, 63442402, 166094368, 434840704, 1138427746, 2980442536, 7802899864, 20428257058, 53481871312, 140017356880, 366570199330, 959693241112, 2512509524008
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
LINKS
|
Index to linear recurrences with constant coefficients, signature (4,-4,1)
|
|
FORMULA
|
a(n)=3a(n-1)-a(n-2)+2.
a(n)=4a(n-1)-4a(n-2)+a(n-3) = 2*A153873(n+3).
G.f.: 2*(116-159*x+44*x^2)/((1-x)*(x^2-3*x+1)).
a(n)=-2+117*{[(3/2)+(1/2)*sqrt(5)]^n+[(3/2)-(1/2)*sqrt(5)]^n}+(261/5)*sqrt(5)*{[(3/ 2)+(1/2)*sqrt(5)]^n-[(3/2)-(1/2 )*sqrt(5)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Dec 31 2008]
|
|
CROSSREFS
|
Sequence in context: A050423 A126818 A064715 this_sequence A156391 A125850 A139673
Adjacent sequences: A153463 A153464 A153465 this_sequence A153467 A153468 A153469
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul Curtz (bpcrtz(AT)free.fr), Dec 27 2008
|
|
EXTENSIONS
|
Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 09 2009
|
|
|
Search completed in 0.002 seconds
|
