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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

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, 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

Cf. A042904, A040952.

Sequence in context: A005663 A112834 A042697 * A247568 A337281 A092031

Adjacent sequences:  A042902 A042903 A042904 * A042906 A042907 A042908

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 25 2013

STATUS

approved

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Last modified May 14 22:40 EDT 2021. Contains 343909 sequences. (Running on oeis4.)