login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042206 Numerators of continued fraction convergents to sqrt(629). 2
25, 301, 326, 627, 7850, 393127, 4725374, 5118501, 9843875, 123245001, 6172093925, 74188372101, 80360466026, 154548838127, 1934946523550, 96901875015627, 1164757446711074, 1261659321726701, 2426416768437775 (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, 15700, 0, 0, 0, 0, 1).

FORMULA

G.f.: (25 +301*x +326*x^2 +627*x^3 +7850*x^4 +627*x^5 -326*x^6 +301*x^7 -25*x^8 +x^9) / (1 -15700*x^5 -x^10). [Bruno Berselli, Nov 19 2013]

MATHEMATICA

Numerator/@Convergents[Sqrt[629], 30] (* Harvey P. Dale, May 02 2011 *)

CROSSREFS

Cf. A042207.

Sequence in context: A078488 A010941 A022620 * A269448 A128377 A171445

Adjacent sequences:  A042203 A042204 A042205 * A042207 A042208 A042209

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 9 21:08 EDT 2022. Contains 356026 sequences. (Running on oeis4.)