id:A088211 - OEIS Search Results

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

+0
2

1, 2, 7, 22, 65, 186, 519, 1422, 3841, 10258, 27143, 71270, 185921, 482314, 1245191, 3201182, 8199169, 20931234, 53276679, 135246390, 342508097, 865501658, 2182728199, 5494630702, 13808551681, 34648530866, 86815769095, 217237177222 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Numerators are A088210.`
	FORMULA	`G.f.: (1-2x+x^2+2x^3)/(1-2x-x^2)^2. a(n) = A000129(n+1) + nA000129(n), where A000129 are the Pell numbers.`
	EXAMPLE	`A088210(3)/a(3) = [2;2,2,4] = 53/22.`
	CROSSREFS	`Cf. A088210, A000129.` `Adjacent sequences: A088208 A088209 A088210 this_sequence A088212 A088213 A088214` `Sequence in context: A063019 A018039 A084264 this_sequence A071684 A060816 A037552`
	KEYWORD	`frac,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Sep 23 2003`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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