login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042338 Numerators of continued fraction convergents to sqrt(696). 2
26, 53, 79, 132, 211, 343, 554, 1451, 76006, 153463, 229469, 382932, 612401, 995333, 1607734, 4210801, 220569386, 445349573, 665918959, 1111268532, 1777187491, 2888456023, 4665643514, 12219743051, 640092282166, 1292404307383, 1932496589549, 3224900896932 (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, 2902, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -26*x^14 +53*x^13 -79*x^12 +132*x^11 -211*x^10 +343*x^9 -554*x^8 -1451*x^7 -554*x^6 -343*x^5 -211*x^4 -132*x^3 -79*x^2 -53*x -26) / (x^16 -2902*x^8 +1). - Colin Barker, Dec 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[696], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

CROSSREFS

Cf. A042339, A040668.

Sequence in context: A023701 A031459 A044992 * A042336 A042334 A042342

Adjacent sequences:  A042335 A042336 A042337 * A042339 A042340 A042341

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 08 2013

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 28 23:48 EST 2021. Contains 349415 sequences. (Running on oeis4.)