A042636 Numerators of continued fraction convergents to sqrt(848).

29, 233, 728, 2417, 7979, 66249, 3850421, 30869617, 96459272, 320247433, 1057201571, 8777860001, 510173081629, 4090162513033, 12780660620728, 42432144375217, 140077093746379, 1163048894346249, 67596912965828821, 541938352620976817

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,132498,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -29*x^10 +233*x^9 -728*x^8 +2417*x^7 -7979*x^6 -66249*x^5 -7979*x^4 -2417*x^3 -728*x^2 -233*x -29) / ((x^2 -7*x -1)*(x^2 +7*x -1)*(x^4 -7*x^3 +50*x^2 +7*x +1)*(x^4 +7*x^3 +50*x^2 -7*x +1)). - Colin Barker, Dec 20 2013

Mathematica

Numerator[Convergents[Sqrt[848], 30]] (* Vincenzo Librandi, Nov 30 2013 *)

Crossrefs

Cf. A042637, A040818.

Sequence in context: A146421 A093401 A228408 * A091630 A251424 A027112

Adjacent sequences: A042633 A042634 A042635 * A042637 A042638 A042639

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved