A042630 - OEIS

A042630

Numerators of continued fraction convergents to sqrt(845).

29, 407, 436, 843, 12238, 710647, 9961296, 10671943, 20633239, 299537289, 17393796001, 243812681303, 261206477304, 505019158607, 7331474697802, 425730551631123, 5967559197533524, 6393289749164647, 12360848946698171, 179445175002939041

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OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,24476,0,0,0,0,1).

FORMULA

G.f.: -(x^9-29*x^8+407*x^7-436*x^6+843*x^5+12238*x^4+843*x^3+436*x^2+407*x+29) / (x^10+24476*x^5-1). - Colin Barker, Dec 20 2013

MATHEMATICA

Numerator[Convergents[Sqrt[845], 20]] (* Harvey P. Dale, Aug 08 2013 *)

CROSSREFS

Cf. A042631, A040815.

Sequence in context: A210260 A010945 A022624 * A174885 A264160 A210302

Adjacent sequences: A042627 A042628 A042629 * A042631 A042632 A042633

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 20 2013

STATUS

approved