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A152599 a(n)=10*a(n-1)-12*a(n-2), n>1 ; a(0)=1, a(1)=4 . 1
1, 4, 28, 232, 1984, 17056, 146752, 1262848, 10867456, 93520384, 804794368, 6925699072, 59599458304, 512886194176, 4413668442112, 37982050091008, 326856479604736, 2812780194955264, 24205524194295808, 208301879603494912 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (10,-12).

FORMULA

G.f.: (1-6*x)/(1-10*x+12*x^2). a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*3^(n-k).

a(n)=(1/26)*sqrt(13)*{[5-sqrt(13)]^n-[5+sqrt(13)]^n}+(1/2)*{[5-sqrt(13)]^n+[5+sqrt(13)]^n}, with n>=0 [From Paolo P. Lava, Dec 12 2008]

a(n) = 2^n*A052961(n). - R. J. Mathar, Jun 14 2016

CROSSREFS

Cf. A006012, A152596

Sequence in context: A180708 A191094 A220876 * A199579 A089023 A035610

Adjacent sequences:  A152596 A152597 A152598 * A152600 A152601 A152602

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Dec 09 2008

STATUS

approved

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Last modified July 5 17:29 EDT 2020. Contains 335473 sequences. (Running on oeis4.)