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A041651
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Denominators of continued fraction convergents to sqrt(344).
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2
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1, 1, 2, 9, 11, 42, 53, 254, 307, 561, 20503, 21064, 41567, 187332, 228899, 874029, 1102928, 5285741, 6388669, 11674410, 426667429, 438341839, 865009268, 3898378911, 4763388179, 18188543448, 22951931627, 109996269956, 132948201583, 242944471539
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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, 0, 0, 20810, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^18 -x^17 +2*x^16 -9*x^15 +11*x^14 -42*x^13 +53*x^12 -254*x^11 +307*x^10 -561*x^9 -307*x^8 -254*x^7 -53*x^6 -42*x^5 -11*x^4 -9*x^3 -2*x^2 -x -1) / (x^20 -20810*x^10 +1). - Colin Barker, Nov 20 2013
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MATHEMATICA
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PROG
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(Magma) I:=[1, 1, 2, 9, 11, 42, 53, 254, 307, 561, 20503, 21064, 41567, 187332, 228899, 874029, 1102928, 5285741, 6388669, 11674410]; [n le 20 select I[n] else 20810*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 22 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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