# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a042431 Showing 1-1 of 1 %I A042431 #16 Mar 19 2017 10:40:52 %S A042431 1,3,4,31,841,5918,6759,26195,1421289,4290062,5711351,44269519, %T A042431 1200988364,8451188067,9652176431,37407717360,2029668913871, %U A042431 6126414458973,8156083372844,63218998068881,1715069031232631,12068702216697298,13783771247929929,53420015960487085 %N A042431 Denominators of continued fraction convergents to sqrt(743). %H A042431 Vincenzo Librandi, Table of n, a(n) for n = 0..200 %H A042431 Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 1428048, 0, 0, 0, 0, 0, 0, 0, -1). %F A042431 G.f.: -(x^14 -3*x^13 +4*x^12 -31*x^11 +841*x^10 -5918*x^9 +6759*x^8 -26195*x^7 -6759*x^6 -5918*x^5 -841*x^4 -31*x^3 -4*x^2 -3*x -1) / (x^16 -1428048*x^8 +1). - _Colin Barker_, Dec 14 2013 %t A042431 Denominator[Convergents[Sqrt[743], 30]] (* _Vincenzo Librandi_, Jan 22 2014 *) %Y A042431 Cf. A042430, A040715. %K A042431 nonn,frac,easy %O A042431 0,2 %A A042431 _N. J. A. Sloane_. %E A042431 More terms from _Colin Barker_, Dec 14 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE