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 A042285 Denominators of continued fraction convergents to sqrt(668). 2
 1, 1, 6, 13, 162, 337, 1847, 2184, 111047, 113231, 677202, 1467635, 18288822, 38045279, 208515217, 246560496, 12536540017, 12783100513, 76452042582, 165687185677, 2064698270706, 4295083727089, 23540116906151, 27835200633240, 1415300148568151 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,112894,0,0,0,0,0,0,0,-1). FORMULA G.f.: -(x^14 -x^13 +6*x^12 -13*x^11 +162*x^10 -337*x^9 +1847*x^8 -2184*x^7 -1847*x^6 -337*x^5 -162*x^4 -13*x^3 -6*x^2 -x -1) / ((x^8 -336*x^4 +1)*(x^8 +336*x^4 +1)). - Colin Barker, Dec 07 2013 a(n) = 112894*a(n-8) - a(n-16). - Wesley Ivan Hurt, Mar 09 2023 MATHEMATICA Denominator[Convergents[Sqrt[668], 30]] (* Vincenzo Librandi, Jan 19 2014 *) CROSSREFS Cf. A042284, A040642. Sequence in context: A236250 A336046 A368633 * A041070 A248263 A201449 Adjacent sequences: A042282 A042283 A042284 * A042286 A042287 A042288 KEYWORD nonn,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Dec 07 2013 STATUS approved

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Last modified August 8 06:29 EDT 2024. Contains 375020 sequences. (Running on oeis4.)