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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042332 Numerators of continued fraction convergents to sqrt(693). 2
26, 79, 974, 1053, 5186, 6239, 80054, 246401, 12892906, 38925119, 479994334, 518919453, 2555672146, 3074591599, 39450771334, 121426905601, 6353649862586, 19182376493359, 236542167782894, 255724544276253, 1259440344887906, 1515164889164159, 19441419014857814 (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 (0,0,0,0,0,0,0,492802,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -26*x^14 +79*x^13 -974*x^12 +1053*x^11 -5186*x^10 +6239*x^9 -80054*x^8 -246401*x^7 -80054*x^6 -6239*x^5 -5186*x^4 -1053*x^3 -974*x^2 -79*x -26) / ((x^8 -702*x^4 +1)*(x^8 +702*x^4 +1)). - Colin Barker, Dec 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[693], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

CROSSREFS

Cf. A042333, A040666.

Sequence in context: A042328 A042330 A052241 * A260199 A239172 A291631

Adjacent sequences:  A042329 A042330 A042331 * A042333 A042334 A042335

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 December 7 15:24 EST 2021. Contains 349581 sequences. (Running on oeis4.)