A042634 Numerators of continued fraction convergents to sqrt(847).

29, 262, 291, 844, 5355, 43684, 267459, 578602, 846061, 8193151, 476048819, 4292632522, 4768681341, 13829995204, 87748652565, 715819215724, 4382663946909, 9481147109542, 13863811056451, 134255446617601, 7800679714877309, 70340372880513382, 78141052595390691

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, 0, 0, 16386302, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -29*x^18 +262*x^17 -291*x^16 +844*x^15 -5355*x^14 +43684*x^13 -267459*x^12 +578602*x^11 -846061*x^10 -8193151*x^9 -846061*x^8 -578602*x^7 -267459*x^6 -43684*x^5 -5355*x^4 -844*x^3 -291*x^2 -262*x -29) / ((x^10 -4048*x^5 +1)*(x^10 +4048*x^5 +1)). - Colin Barker, Dec 20 2013

Mathematica

Numerator[Convergents[Sqrt[847], 30]] (* Vincenzo Librandi, Nov 30 2013 *)

Crossrefs

Cf. A042635, A040817.

Sequence in context: A146127 A146038 A142683 * A381680 A223769 A224157

Adjacent sequences: A042631 A042632 A042633 * A042635 A042636 A042637

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved