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A042905 Denominators of continued fraction convergents to sqrt(984). 2

%I #17 Mar 19 2017 13:08:55

%S 1,2,3,8,19,141,301,743,1044,2831,176566,355963,532529,1421021,

%T 3374571,25043018,53460607,131964232,185424839,502813910,31359887259,

%U 63222588428,94582475687,252387539802,599357555291,4447890426839,9495138408969,23438167244777

%N Denominators of continued fraction convergents to sqrt(984).

%H Vincenzo Librandi, <a href="/A042905/b042905.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 177610, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F 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

%F a(n) = 177610*a(n-10) - a(n-20) for n>19. - _Vincenzo Librandi_, Feb 01 2014

%t Denominator[Convergents[Sqrt[984], 50]] (* _Vincenzo Librandi_, Feb 01 2014 *)

%Y Cf. A042904, A040952.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 25 2013

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Last modified April 19 18:00 EDT 2024. Contains 371797 sequences. (Running on oeis4.)