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A153465 9*4^n - 2. 2
34, 142, 574, 2302, 9214, 36862, 147454, 589822, 2359294, 9437182, 37748734, 150994942, 603979774, 2415919102, 9663676414, 38654705662, 154618822654, 618475290622, 2473901162494, 9895604649982, 39582418599934, 158329674399742, 633318697598974, 2533274790395902 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (5,-4).

FORMULA

a(n)=A002063(n)-2. - R. J. Mathar, Jan 03 2009

a(n) = 5*a(n-1) - 4*a(n-2).

G.f.: x*(34-28*x)/((1-x)*(1-4*x)). - Vincenzo Librandi, May 03 2014

MATHEMATICA

LinearRecurrence[{5, -4}, {34, 142}, 50] (* Vincenzo Librandi, Feb 22 2012 *)

CoefficientList[Series[(34 - 28 x )/((1 - x) (1 - 4 x)), {x, 0, 30}], x] (* Vincenzo Librandi, May 03 2014 *)

PROG

(PARI) a(n)=9*4^n-2; \\ Charles R Greathouse IV, Jan 11 2012

(MAGMA) I:=[34, 142]; [n le 2 select I[n] else 5*Self(n-1)-4*Self(n-2): n in [1..50]]; // Vincenzo Librandi, Feb 22 2012

CROSSREFS

Sequence in context: A303302 A158062 A141127 * A280550 A105714 A072319

Adjacent sequences:  A153462 A153463 A153464 * A153466 A153467 A153468

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Dec 27 2008

STATUS

approved

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Last modified September 26 20:34 EDT 2021. Contains 347672 sequences. (Running on oeis4.)