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A042157
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Denominators of continued fraction convergents to sqrt(603).
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2
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1, 1, 2, 7, 9, 214, 223, 883, 1106, 1989, 96578, 98567, 195145, 684002, 879147, 20904383, 21783530, 86254973, 108038503, 194293476, 9434125351, 9628418827, 19062544178, 66816051361, 85878595539, 2042023748758, 2127902344297, 8425730781649, 10553633125946
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OFFSET
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0,3
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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, 0, 0, 97684, 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 -7*x^15 +9*x^14 -214*x^13 +223*x^12 -883*x^11 +1106*x^10 -1989*x^9 -1106*x^8 -883*x^7 -223*x^6 -214*x^5 -9*x^4 -7*x^3 -2*x^2 -x -1) / (x^20 -97684*x^10 +1). - Colin Barker, Nov 19 2013
a(n) = 97684*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 16 2014
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MATHEMATICA
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Denominator[Convergents[Sqrt[603], 30]] (* Harvey P. Dale, Mar 20 2013 *)
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CROSSREFS
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Cf. A042156, A040578.
Sequence in context: A042561 A252661 A041453 * A012937 A022414 A319932
Adjacent sequences: A042154 A042155 A042156 * A042158 A042159 A042160
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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 19 2013
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STATUS
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approved
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