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Search: id:A087425
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| A087425 |
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a(n)=S(5*n,5)/S(n,5) where S(n,m)=sum(k=0,n,binomial(n,k)*fibonacci(m*k)). |
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3
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| 23105, 459119455, 9758296035305, 208416652653910655, 4452963734477926435505, 95143212432467064852443605, 2032859482921447476046969568705, 43434715031065603778576465510557055
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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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
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CROSSREFS
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Cf. A020876.
Adjacent sequences: A087422 A087423 A087424 this_sequence A087426 A087427 A087428
Sequence in context: A105378 A116062 A104077 this_sequence A075784 A126301 A133968
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 22 2003
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