id:A135961 - OEIS Search Results

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G.f.: A(x) = Sum_{n>=0} x^n/(1 - fibonacci(n)*x).

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1, 1, 2, 3, 5, 10, 25, 79, 318, 1637, 10753, 89872, 955537, 12930173, 222618066, 4874855543, 135781292309, 4811103270054, 216847500834513, 12432143862756779, 906625645142897790, 84102571511631809865 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n) = Sum_{k=0..n} fibonacci(k)^(n-k).`
	EXAMPLE	`A(x) = 1 + x/(1-x) + x^2/(1-x) + x^3/(1-2x) + x^4/(1-3x) + x^5/(1-5x) +...`
	PROGRAM	`(PARI) a(n)=sum(k=0, n, fibonacci(k)^(n-k))`
	CROSSREFS	`Cf. A000045.` `Adjacent sequences: A135958 A135959 A135960 this_sequence A135962 A135963 A135964` `Sequence in context: A050837 A107578 A011827 this_sequence A011828 A011829 A011830`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Dec 09 2007`

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Last modified October 6 12:54 EDT 2008. Contains 144667 sequences.

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