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A041765 Denominators of continued fraction convergents to sqrt(403). 2

%I #18 Mar 19 2017 09:03:40

%S 1,13,27,40,147,187,708,895,2498,33369,1337258,17417723,36172704,

%T 53590427,196943985,250534412,948547221,1199081633,3346710487,

%U 44706317964,1791599429047,23335498895575,48462597220197,71798096115772,263856885567513,335654981683285

%N Denominators of continued fraction convergents to sqrt(403).

%H Vincenzo Librandi, <a href="/A041765/b041765.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, 1339756, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^18 -13*x^17 +27*x^16 -40*x^15 +147*x^14 -187*x^13 +708*x^12 -895*x^11 +2498*x^10 -33369*x^9 -2498*x^8 -895*x^7 -708*x^6 -187*x^5 -147*x^4 -40*x^3 -27*x^2 -13*x -1) / (x^20 -1339756*x^10 +1). - _Colin Barker_, Nov 24 2013

%F a(n) = 1339756*a(n-10) - a(n-20) for n>19. - _Vincenzo Librandi_, Dec 24 2013

%t Denominator[Convergents[Sqrt[403], 30]] (* _Vincenzo Librandi_, Dec 24 2013 *)

%Y Cf. A041764, A040382.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 24 2013

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Last modified July 6 21:56 EDT 2024. Contains 374058 sequences. (Running on oeis4.)