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A087584 a(n)=(1/7)*sum(k=0,n,binomial(n,k)*Fibonacci(k)*7^k). 1
1, 9, 122, 1467, 18205, 223992, 2762333, 34044669, 419657674, 5172750495, 63760719089, 785929242096, 9687552661513, 119411072879553, 1471889315038010, 18142857823403763, 223633182327192277, 2756555811704284776, 33977962780753446341, 418820453306656692885 (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 (9,41).

FORMULA

a(n)=9*a(n-1)+41*a(n-2)

a(n)=(1/2)*[9/2+(7/2)*sqrt(5)]^n+(1/2)[9/2-(7/2)*sqrt(5)]^n+(9/70)*[9/2+(7/2)*sqrt(5)]^n*sqrt(5) -(9/70)*sqrt(5)*[9/2-(7/2)*sqrt(5)]^n, with n>=0 [From Paolo P. Lava, Aug 28 2008]

G.f.: 1 / (-41*x^2-9*x+1). - Colin Barker, Aug 08 2013

CROSSREFS

Cf. A014445, A057088, A015553.

Sequence in context: A053889 A295372 A293284 * A199139 A295095 A295549

Adjacent sequences:  A087581 A087582 A087583 * A087585 A087586 A087587

KEYWORD

nonn,easy

AUTHOR

Benoit Cloitre, Oct 25 2003

EXTENSIONS

More terms from Colin Barker, Aug 08 2013

STATUS

approved

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Last modified September 23 08:57 EDT 2021. Contains 347611 sequences. (Running on oeis4.)