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A153466 a(n) = A027941(n) + A027941(n+6). 4
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; text; internal format)
OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-4,1).

FORMULA

a(n) = 3*a(n-1) - a(n-2) + 2.

a(n) = 4*a(n-1) - 4*a(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. - Paolo P. Lava, Dec 31 2008

MATHEMATICA

LinearRecurrence[{4, -4, 1}, {232, 610, 1600}, 25] (* G. C. Greubel, Aug 19 2016 *)

CROSSREFS

Sequence in context: A064715 A245006 A252273 * A200870 A234690 A234683

Adjacent sequences:  A153463 A153464 A153465 * A153467 A153468 A153469

KEYWORD

nonn

AUTHOR

Paul Curtz, Dec 27 2008

EXTENSIONS

Edited and extended by R. J. Mathar, Sep 09 2009

STATUS

approved

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Last modified October 26 05:58 EDT 2021. Contains 348257 sequences. (Running on oeis4.)