id:A088209 - OEIS Search Results

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Numerators of convergents of the continued fraction with the n+1 partial quotients: [1;1,1,...(n 1's)...,1,n+1], starting with [1], [1;2], [1;1,3], [1;1,1,4], ...

+0
5

1, 3, 7, 14, 28, 53, 99, 181, 327, 584, 1034, 1817, 3173, 5511, 9527, 16402, 28136, 48109, 82023, 139481, 236631, 400588, 676822, 1141489, 1921993, 3231243, 5424679, 9095126, 15230452, 25475429, 42566379, 71052157, 118489383 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Denominators form the Les Marvin sequence: A007502(n+1).`
	FORMULA	`G.f.: (1-x-x^3)/(1-x-x^2)^2.` `a(n)=Fib(n)+(n+1)Fib(n+1). - Paul Barry (pbarry(AT)wit.ie), Apr 20 2004`
	EXAMPLE	`a(3)/A007502(4) = [1;1,1,4] = 14/9.`
	CROSSREFS	`Cf. A007502.` `a(n) = A109754(n, n+2) = A101220(n, 0, n+2).` `Adjacent sequences: A088206 A088207 A088208 this_sequence A088210 A088211 A088212` `Sequence in context: A014172 A029879 A018084 this_sequence A089074 A125176 A125899`
	KEYWORD	`frac,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Sep 23 2003`

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Last modified May 11 10:28 EDT 2008. Contains 139662 sequences.

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