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A041055
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Denominators of continued fraction convergents to sqrt(33).
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2
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1, 1, 3, 4, 43, 47, 137, 184, 1977, 2161, 6299, 8460, 90899, 99359, 289617, 388976, 4179377, 4568353, 13316083, 17884436, 192160443, 210044879, 612250201, 822295080, 8835201001, 9657496081, 28150193163
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = 46*a(n-4)-a(n-8). G.f.: -(x^2-x-1)*(x^4+4*x^2+1)/(x^8-46*x^4+1). [Colin Barker, Jul 16 2012]
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 46, 0, 0, 0, -1}, {1, 1, 3, 4, 43, 47, 137, 184}, 30] (* Harvey P. Dale, Apr 24 2022 *)
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CROSSREFS
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KEYWORD
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nonn,cofr,frac,easy
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AUTHOR
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STATUS
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approved
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