A042542 Numerators of continued fraction convergents to sqrt(800).

28, 85, 113, 198, 2687, 2885, 5572, 19601, 1103228, 3329285, 4432513, 7761798, 105335887, 113097685, 218433572, 768398401, 43248744028, 130514630485, 173763374513, 304278004998, 4129377439487, 4433655444485, 8563032883972, 30122754096401, 1695437262282428

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -28*x^14 +85*x^13 -113*x^12 +198*x^11 -2687*x^10 +2885*x^9 -5572*x^8 -19601*x^7 -5572*x^6 -2885*x^5 -2687*x^4 -198*x^3 -113*x^2 -85*x -28) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - Colin Barker, Dec 17 2013

Mathematica

Numerator[Convergents[Sqrt[800], 30]] (* Vincenzo Librandi, Nov 27 2013 *)

Crossrefs

Cf. A042543, A040771.

Sequence in context: A254145 A271735 A280885 * A042540 A042544 A042546

Adjacent sequences: A042539 A042540 A042541 * A042543 A042544 A042545

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 17 2013

Status

approved