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A088211
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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], ...
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2
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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
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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G.f.: (1-2*x+x^2+2*x^3)/(1-2*x-x^2)^2.
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EXAMPLE
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A088210(3)/a(3) = [2;2,2,4] = 53/22.
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MATHEMATICA
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LinearRecurrence[{4, -2, -4, -1}, {1, 2, 7, 22}, 30] (* Paolo Xausa, Feb 08 2024 *)
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CROSSREFS
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KEYWORD
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frac,nonn
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AUTHOR
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STATUS
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approved
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