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A088211 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], ... 1
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; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Numerators are A088210.

LINKS

Table of n, a(n) for n=0..27.

FORMULA

G.f.: (1-2x+x^2+2x^3)/(1-2*x-x^2)^2. a(n) = A000129(n+1) + n*A000129(n), where A000129 are the Pell numbers.

EXAMPLE

A088210(3)/a(3) = [2;2,2,4] = 53/22.

CROSSREFS

Cf. A088210, A000129.

Sequence in context: A018039 A198888 A084264 * A071684 A290917 A060816

Adjacent sequences:  A088208 A088209 A088210 * A088212 A088213 A088214

KEYWORD

frac,nonn

AUTHOR

Paul D. Hanna, Sep 23 2003

STATUS

approved

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Last modified September 22 05:47 EDT 2019. Contains 327287 sequences. (Running on oeis4.)