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A195680
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Denominators a(n) of Pythagorean approximations b(n)/a(n) to sqrt(12).
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4
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7, 2772, 5945, 26144, 285621, 257076560, 2386970016, 103850955649, 254621037540, 3060691213613, 29733959304728, 62837775720000, 89511043811115, 453985767379732, 1567652657852541, 35830073055128140, 22926879590846577132
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OFFSET
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1,1
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COMMENTS
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See A195500 for a discussion and references.
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LINKS
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MATHEMATICA
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r = Sqrt[12]; z = 24;
p[{f_, n_}] := (#1[[2]]/#1[[
1]] &)[({2 #1[[1]] #1[[2]], #1[[1]]^2 - #1[[
2]]^2} &)[({Numerator[#1], Denominator[#1]} &)[
Array[FromContinuedFraction[
ContinuedFraction[(#1 + Sqrt[1 + #1^2] &)[f], #1]] &, {n}]]]];
{a, b} = ({Denominator[#1], Numerator[#1]} &)[
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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