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A133479 a(n)=a(n-1)+8*a(n-2) for n>=2, a(0)=1, a(1)=2 . 2
1, 2, 10, 26, 106, 314, 1162, 3674, 12970, 42362, 146122, 485018, 1653994, 5534138, 18766090, 63039194, 213167914, 717481466, 2422824778, 8162676506, 27545274730, 92846686778, 313208884618, 1055982378842, 3561653455786 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

Index entries for linear recurrences with constant coefficients, signature (1,8).

FORMULA

G.f.: (1+x)/(1-x-8*x^2) .

a(n) = Sum_{k, 0<=k<=n+1}A122950(n+1,k)*7^(n+1-k). - Philippe Deléham, Jan 08 2008

a(n) = -(1/22)*[(1/2)-(1/2)*sqrt(33)]^n*sqrt(33)+(1/2)*[(1/2)-(1/2)*sqrt(33)]^n+(1/22)*sqrt(33)*[(1/2) +(1/2)*sqrt(33)]^n+(1/2)*[(1/2)+(1/2)*sqrt(33)]^n, with n>=0. [Paolo P. Lava, Nov 18 2008]

a(n) = ((11+sqrt(33))/22)*(0.5+0.5*sqrt(33))^n+((11-sqrt(33))/22)*(0.5-0.5*sqrt(33))^n. [Richard Choulet, Nov 20 2008]

CROSSREFS

Sequence in context: A321240 A322201 A099583 * A196324 A196648 A220700

Adjacent sequences:  A133476 A133477 A133478 * A133480 A133481 A133482

KEYWORD

easy,nonn

AUTHOR

Philippe Deléham, Jan 03 2008

STATUS

approved

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Last modified June 20 00:47 EDT 2019. Contains 324223 sequences. (Running on oeis4.)