id:A054449 - OEIS Search Results

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Row sums of triangle A054448 (second member of partial row sums triangle family of Fibonacci convolution triangle).

+0
2

1, 4, 14, 46, 144, 436, 1287, 3724, 10603, 29788, 82748, 227658, 621122, 1682252, 4526845, 12111512, 32237253, 85407188, 225318042, 592141478, 1550688932, 4047787844, 10534503523, 27340763556, 70777265551, 182785072876 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)= sum(A054448(n, m), m=0..n)= ((2n^2+17n+32)P(n+1)+13(n+1)P(n))/32, P(n)= A000129(n) (Pell numbers).` `G.f.: ((Pell(x))^3)/(Fib(x))^2, with Pell(x)= 1/(1-2x-x^2) = g.f. A000129(n+1) (Pell numbers without 0) and Fib(x)=1/(1-x-x^2) = g.f. A000045(n+1) (Fibonacci numbers without 0).`
	CROSSREFS	`Cf. A000129, A000045, A054448.` `Sequence in context: A094688 A068092 A117916 this_sequence A029868 A030267 A026290` `Adjacent sequences: A054446 A054447 A054448 this_sequence A054450 A054451 A054452`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 27 2000`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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