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A154997 a(n)=6*a(n-1)+30*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=11 . 2
1, 1, 11, 96, 906, 8316, 77076, 711936, 6583896, 60861456, 562685616, 5201957376, 48092312736, 444612597696, 4110444968256, 38001047740416, 351319635490176, 3247949245153536, 30027284535626496, 277602184568365056 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (6, 30).

FORMULA

G.f.: (1-5*x-25*x^2)/(1-6*x-30*x^2). a(n+1)=Sum_{k, 0<=k<=n}A154929(n,k)*5^(n-k).

a(n)=(4/39)*sqrt(39)*{[3+sqrt(39)]^(n-1)-[3-sqrt(39)]^(n-1)}+(1/2)*{[3+sqrt(39)]^(n-1)+[3-sqrt(39)]^(n-1)}+(5/6)*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jan 20 2009]

MATHEMATICA

Join[{1}, LinearRecurrence[{6, 30}, {1, 11}, 20]] (* Harvey P. Dale, Feb 07 2012 *)

CROSSREFS

Sequence in context: A081041 A294724 A115351 * A137017 A133833 A142260

Adjacent sequences:  A154994 A154995 A154996 * A154998 A154999 A155000

KEYWORD

nonn

AUTHOR

Philippe Deléham, Jan 18 2009

STATUS

approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)