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Search: id:A087567
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| A087567 |
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a(n)=(1/5)*sum(k=0,n,binomial(n,k)*Fibonacci(k)*5^k). |
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+0
1
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| 1, 7, 68, 609, 5555, 50456, 458737, 4169823, 37904764, 344559985, 3132110411, 28471412592, 258809985953, 2352626740919, 21385776919540, 194400346514241, 1767132187070947, 16063531893267208, 146020234807218449
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=7*a(n-1)+19*a(n-2)
a(n)=-(7/50)*[7/2-(5/2)*sqrt(5)]^n*sqrt(5)+(7/50)*sqrt(5)*[7/2+(5/2)*sqrt(5)]^n+(1/2)*[7/2-(5/2) *sqrt(5)]^n+(1/2)*[7/2+(5/2)*sqrt(5)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008
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PROGRAM
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(Other) sage: [lucas_number1(n, 7, -19) for n in xrange(1, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
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CROSSREFS
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Cf. A014445, A057088, A015553.
Sequence in context: A082698 A093170 A120079 this_sequence A136629 A133697 A122010
Adjacent sequences: A087564 A087565 A087566 this_sequence A087568 A087569 A087570
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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 25 2003
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