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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
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
Sequence in context: A251149 A293787 A041330 * A041328 A136773 A358053
KEYWORD
nonn,frac,easy
AUTHOR
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.)