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Search: id:A141752
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A141752 a(n) = Sum_{k=0..n} [ Fibonacci(2k-1) + (n-k)*Fibonacci(2k) ]. +0
2
1, 2, 5, 14, 39, 106, 283, 748, 1967, 5160, 13521, 35412, 92725, 242774, 635609, 1664066, 4356603, 11405758, 29860687, 78176320, 204668291, 535828572, 1402817445, 3672623784, 9615053929, 25172538026, 65902560173, 172535142518 (list; graph; listen)
OFFSET

0,2

FORMULA

Row sums of triangle A141751.

G.f.: (1 - 3*x + 3*x^2)/((1 - 3*x + x^2)*(1-x)^2).

PROGRAM

(PARI) a(n)=sum(k=0, n, fibonacci(2*k-1) + (n-k)*fibonacci(2*k))

CROSSREFS

Cf. A141751.

Sequence in context: A148314 A001011 A148315 this_sequence A142586 A132834 A000641

Adjacent sequences: A141749 A141750 A141751 this_sequence A141753 A141754 A141755

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jul 04 2008

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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