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A166060 4*3^n - 3*2^n. 9
1, 6, 24, 84, 276, 876, 2724, 8364, 25476, 77196, 233124, 702444, 2113476, 6352716, 19082724, 57297324, 171990276, 516167436, 1548895524, 4647473004, 13943991876, 41835121356, 125511655524, 376547549484, 1129667814276 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Second binomial transform of A123932 = [1,4,4,4,4,4,4,4,...].

a(n) = sum(A082560(n+1,k): k = 1..2^n). - Reinhard Zumkeller, May 14 2015

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-6).

FORMULA

a(0)= 1, a(1)= 6, a(n)= 5*a(n-1)-6*a(n-2) for n>1. G.f.: (1+x)/(1-5x+6x^2).

a(n) = A217764(n,6). - Ross La Haye, Mar 27 2013

MATHEMATICA

CoefficientList[Series[(1+x)/((1-2x)*(1-3x)), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 05 2012 *)

PROG

(PARI) a(n)=4*3^n-3<<n \\ Charles R Greathouse IV, Jan 12 2012

(MAGMA) [4*3^n-3*2^n: n in [0..30]]; // Vincenzo Librandi, Dec 05 2012

(Haskell)

a166060 n = a166060_list !! n

a166060_list = map fst $ iterate (\(u, v) -> (3 * (u + v), 2 * v)) (1, 1)

-- Reinhard Zumkeller, Jun 09 2013

CROSSREFS

Cf. A082560, A257956.

Sequence in context: A052150 A118043 A317408 * A124807 A271789 A121532

Adjacent sequences:  A166057 A166058 A166059 * A166061 A166062 A166063

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Oct 05 2009

EXTENSIONS

a(19) and  a(22) corrected by Charles R Greathouse IV, Jan 12 2012

STATUS

approved

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Last modified September 16 06:21 EDT 2019. Contains 327090 sequences. (Running on oeis4.)