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A144536
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Denominators of continued fraction convergents to sqrt(3)/2.
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1
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1, 1, 7, 15, 97, 209, 1351, 2911, 18817, 40545, 262087, 564719, 3650401, 7865521, 50843527, 109552575, 708158977, 1525870529, 9863382151, 21252634831, 137379191137, 296011017105, 1913445293767, 4122901604639, 26650854921601, 57424611447841, 371198523608647
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| Empirical G.f.: (1+x-7*x^2+x^3)/(1-14*x^2+x^4) [Colin Barker, Jan 01 2012]
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EXAMPLE
| 0, 1, 6/7, 13/15, 84/97, 181/209, 1170/1351, 2521/2911, 16296/18817, 35113/40545, ...
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MAPLE
| with(numtheory); Digits:=200: cf:=convert(evalf(sqrt(3)/2, confrac); [seq(nthconver(cf, i), i=0..100)];
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CROSSREFS
| Cf. A126664, A144535, A002531/A002530.
Bisections give A011943, A028230.
Sequence in context: A177128 A177177 A041413 * A032004 A032018 A068366
Adjacent sequences: A144533 A144534 A144535 * A144537 A144538 A144539
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KEYWORD
| nonn,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 29 2008
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