id:A124125 - OEIS Search Results

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a(n)=(1/(4n))*sum(k=1,n,F(6k)*B(2n-2k)*binomial(2n,2k)) where F=Fibonacci numbers and B=Bernoulli numbers.

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2, 19, 245, 3631, 58121, 973843, 16773677, 293759095, 5196109073, 92455824667, 1650850175669, 29537478199039, 529130102195225, 9485447592486691, 170110949757514301, 3051485664370912903, 54745886982174938657 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n)=(1/4)(F(6n-3)+4^nF(2n-1)+2*5^(n-1))`
	PROGRAM	`(PARI) a(n)=(1/4)(fibonacci(6n-3)+4^nfibonacci(2n-1)+2*5^(n-1))`
	CROSSREFS	`Cf. A111262.` `Adjacent sequences: A124122 A124123 A124124 this_sequence A124126 A124127 A124128` `Sequence in context: A024227 A106945 A125632 this_sequence A065923 A094476 A119773`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 29 2006`

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.

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