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A153466 a(n)= A027941(n) + A027941(n+6). 3
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; refs; listen; history; internal format)
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 (paoloplava(AT)gmail.com), Dec 31 2008]

CROSSREFS

Sequence in context: A126818 A179246 A064715 * A200870 A156391 A188401

Adjacent sequences:  A153463 A153464 A153465 * 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

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Last modified February 15 10:28 EST 2012. Contains 205763 sequences.