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A042634 Numerators of continued fraction convergents to sqrt(847). 2
29, 262, 291, 844, 5355, 43684, 267459, 578602, 846061, 8193151, 476048819, 4292632522, 4768681341, 13829995204, 87748652565, 715819215724, 4382663946909, 9481147109542, 13863811056451, 134255446617601, 7800679714877309, 70340372880513382, 78141052595390691 (list; graph; refs; listen; history; text; internal format)
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 * A223769 A224157 A223776

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

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Last modified October 27 19:59 EDT 2020. Contains 338036 sequences. (Running on oeis4.)