A042905 - OEIS

A042905

Denominators of continued fraction convergents to sqrt(984).

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