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A087425 a(n)=S(5*n,5)/S(n,5) where S(n,m)=sum(k=0,n,binomial(n,k)*fibonacci(m*k)). 2
23105, 459119455, 9758296035305, 208416652653910655, 4452963734477926435505, 95143212432467064852443605, 2032859482921447476046969568705, 43434715031065603778576465510557055 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..8.

FORMULA

a(n)=121^n+{(21367+9555*sqrt(5))/2}^n+{(21367-9555*sqrt(5))/2}^n+{(1617+715*sqrt(5))/2}^n+{(1617-715*sqrt(5))/2}^n; a(n)=(x_1)^n+(x_2)^n+(x_3)^n+(x_4)^n+(x_5)^n where (x_i) (1<=i<=5) are the roots of X^5-23105*X^4+37360785*X^3-4520654985*X^2+40931916905*X- 25937424601

CROSSREFS

Cf. A020876.

Sequence in context: A104077 A199811 A230791 * A031648 A075784 A126301

Adjacent sequences:  A087422 A087423 A087424 * A087426 A087427 A087428

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Oct 22 2003

STATUS

approved

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Last modified April 16 09:57 EDT 2021. Contains 343035 sequences. (Running on oeis4.)