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A041383
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Denominators of continued fraction convergents to sqrt(206).
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2
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1, 2, 3, 17, 241, 1222, 1463, 4148, 117607, 239362, 356969, 2024207, 28695867, 145503542, 174199409, 493902360, 14003465489, 28500833338, 42504298827, 241022327473, 3416816883449, 17325106744718, 20741923628167, 58808954001052, 1667392635657623
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,119070,0,0,0,0,0,0,0,-1).
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FORMULA
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G.f.: -(x^14 -2*x^13 +3*x^12 -17*x^11 +241*x^10 -1222*x^9 +1463*x^8 -4148*x^7 -1463*x^6 -1222*x^5 -241*x^4 -17*x^3 -3*x^2 -2*x -1) / (x^16 -119070*x^8 +1). - Colin Barker, Nov 16 2013
a(n) = 119070*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 16 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[206], 30]] (* Vincenzo Librandi, Dec 16 2013 *)
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PROG
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(MAGMA) I:=[1, 2, 3, 17, 241, 1222, 1463, 4148, 117607, 239362, 356969, 2024207, 28695867, 145503542, 174199409, 493902360]; [n le 16 select I[n] else 119070*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 16 2013
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CROSSREFS
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Cf. A041382, A040191.
Sequence in context: A328340 A042978 A089675 * A042903 A132534 A263048
Adjacent sequences: A041380 A041381 A041382 * A041384 A041385 A041386
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Colin Barker, Nov 16 2013
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STATUS
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approved
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