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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
OFFSET
0,3
LINKS
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
Sequence in context: A236250 A336046 A368633 * A041070 A248263 A201449
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 07 2013
STATUS
approved