id:A054447 - OEIS Search Results

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Row sums of triangle A054446 (partial row sums triangle of Fibonacci convolution triangle).

+0
2

1, 3, 9, 26, 73, 201, 545, 1460, 3873, 10191, 26633, 69198, 178889, 460437, 1180545, 3016552, 7684481, 19522203, 49473097, 125093506, 315654537, 795016545, 1998909985, 5017895196, 12578040097, 31485713511 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)= sum(A054446(n, m), m=0..n) = ((n+1)P(n+2)+(2-n)P(n+1))/4, with P(n)=A000129(n) (Pell numbers).` `G.f.: Pell(x)/(1-xFib(x))= (Pell(x)^2)/Fib(x), 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, A054446.` `Sequence in context: A057153 A084787 A121190 this_sequence A061667 A127911 A116423` `Adjacent sequences: A054444 A054445 A054446 this_sequence A054448 A054449 A054450`
	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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