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 A041765 Denominators of continued fraction convergents to sqrt(403). 2
 1, 13, 27, 40, 147, 187, 708, 895, 2498, 33369, 1337258, 17417723, 36172704, 53590427, 196943985, 250534412, 948547221, 1199081633, 3346710487, 44706317964, 1791599429047, 23335498895575, 48462597220197, 71798096115772, 263856885567513, 335654981683285 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1339756, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). FORMULA 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 a(n) = 1339756*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 24 2013 MATHEMATICA Denominator[Convergents[Sqrt[403], 30]] (* Vincenzo Librandi, Dec 24 2013 *) CROSSREFS Cf. A041764, A040382. Sequence in context: A251149 A293787 A041330 * A041328 A136773 A358053 Adjacent sequences: A041762 A041763 A041764 * A041766 A041767 A041768 KEYWORD nonn,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Nov 24 2013 STATUS approved

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)