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A042814 Numerators of continued fraction convergents to sqrt(938). 2

%I #15 Mar 18 2017 18:10:34

%S 30,31,61,92,245,2052,4349,6401,10750,17151,1039810,1056961,2096771,

%T 3153732,8404235,70387612,149179459,219567071,368746530,588313601,

%U 35667562590,36255876191,71923438781,108179314972,288282068725

%N Numerators of continued fraction convergents to sqrt(938).

%H Vincenzo Librandi, <a href="/A042814/b042814.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, 34302, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -30*x^18 +31*x^17 -61*x^16 +92*x^15 -245*x^14 +2052*x^13 -4349*x^12 +6401*x^11 -10750*x^10 -17151*x^9 -10750*x^8 -6401*x^7 -4349*x^6 -2052*x^5 -245*x^4 -92*x^3 -61*x^2 -31*x -30) / (x^20 -34302*x^10 +1). - _Colin Barker_, Dec 24 2013

%t Numerator[Convergents[Sqrt[938], 30]] (* _Vincenzo Librandi_, Dec 05 2013 *)

%Y Cf. A042815, A040907.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E Additional term from _Colin Barker_, Dec 24 2013

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