Search: a010209 -id:a010209
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A041295
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Denominators of continued fraction convergents to sqrt(160).
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+10
2
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1, 1, 2, 3, 17, 20, 37, 57, 1405, 1462, 2867, 4329, 24512, 28841, 53353, 82194, 2026009, 2108203, 4134212, 6242415, 35346287, 41588702, 76934989, 118523691, 2921503573, 3040027264, 5961530837, 9001558101, 50969321342, 59970879443, 110940200785, 170911080228
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OFFSET
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0,3
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1442,0,0,0,0,0,0,0,-1).
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FORMULA
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G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+19*x^4+1) / ((x^4-6*x^2-1)*(x^4+6*x^2-1)*(x^8+38*x^4+1)). - Colin Barker, Nov 14 2013
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MATHEMATICA
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PROG
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(Magma) I:=[1, 1, 2, 3, 17, 20, 37, 57, 1405, 1462, 2867, 4329, 24512, 28841, 53353, 82194]; [n le 16 select I[n] else 1442*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 15 2013
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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