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A042905 Denominators of continued fraction convergents to sqrt(984). 2
1, 2, 3, 8, 19, 141, 301, 743, 1044, 2831, 176566, 355963, 532529, 1421021, 3374571, 25043018, 53460607, 131964232, 185424839, 502813910, 31359887259, 63222588428, 94582475687, 252387539802, 599357555291, 4447890426839, 9495138408969, 23438167244777 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 177610, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -2*x^17 +3*x^16 -8*x^15 +19*x^14 -141*x^13 +301*x^12 -743*x^11 +1044*x^10 -2831*x^9 -1044*x^8 -743*x^7 -301*x^6 -141*x^5 -19*x^4 -8*x^3 -3*x^2 -2*x -1) / (x^20 -177610*x^10 +1). - Colin Barker, Dec 25 2013
a(n) = 177610*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Feb 01 2014
MATHEMATICA
Denominator[Convergents[Sqrt[984], 50]] (* Vincenzo Librandi, Feb 01 2014 *)
CROSSREFS
Sequence in context: A005663 A112834 A042697 * A247568 A337281 A092031
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 25 2013
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)