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A041309
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Denominators of continued fraction convergents to sqrt(167).
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2
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1, 1, 12, 13, 324, 337, 4031, 4368, 108863, 113231, 1354404, 1467635, 36577644, 38045279, 455075713, 493120992, 12289979521, 12783100513, 152904085164, 165687185677, 4129396541412, 4295083727089, 51375317539391, 55670401266480, 1387464947934911
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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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G.f.: -(x^2-x-1)*(x^4+13*x^2+1) / (x^8-336*x^4+1). - Colin Barker, Nov 15 2013
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 336, 0, 0, 0, -1}, {1, 1, 12, 13, 324, 337, 4031, 4368}, 30] (* Harvey P. Dale, Aug 16 2015 *)
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PROG
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(Magma) I:=[1, 1, 12, 13, 324, 337, 4031, 4368]; [n le 8 select I[n] else 336*Self(n-4)-Self(n-8): 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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