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Numerators of continued fraction convergents to sqrt(837).
2

%I #20 Feb 27 2018 18:03:10

%S 28,29,405,839,11312,12151,691768,703919,9842715,20389349,274904252,

%T 295293601,16811345908,17106639509,239197659525,495501958559,

%U 6680723120792,7176225079351,408549327564448,415725552643799,5812981511933835,12041688576511469

%N Numerators of continued fraction convergents to sqrt(837).

%H Vincenzo Librandi, <a href="/A042616/b042616.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 24302, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11 -28*x^10 +29*x^9 -405*x^8 +839*x^7 -11312*x^6 -12151*x^5 -11312*x^4 -839*x^3 -405*x^2 -29*x -28) / ((x^4 -29*x^2 +1)*(x^8 +29*x^6 +840*x^4 +29*x^2 +1)). - _Colin Barker_, Dec 20 2013

%t Numerator[Convergents[Sqrt[837], 30]] (* _Harvey P. Dale_, Nov 01 2011 *)

%Y Cf. A042617, A040808.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 20 2013