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!)
A042028 Numerators of continued fraction convergents to sqrt(538). 2
23, 116, 835, 951, 1786, 13453, 69051, 3189799, 16018046, 115316121, 131334167, 246650288, 1857886183, 9536081203, 440517621521, 2212124188808, 15925386943177, 18137511131985, 34062898075162, 256577797658119, 1316951886365757, 60836364570482941 (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, 138102, 0, 0, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^13 -23*x^12 +116*x^11 -835*x^10 +951*x^9 -1786*x^8 +13453*x^7 +69051*x^6 +13453*x^5 +1786*x^4 +951*x^3 +835*x^2 +116*x +23) / (x^14 +138102*x^7 -1). - Colin Barker, Nov 29 2013

MATHEMATICA

Numerator[Convergents[Sqrt[538], 30]]  (* Vincenzo Librandi, Nov 14 2013 *)

CROSSREFS

Cf. A042029, A040514.

Sequence in context: A302530 A156568 A042026 * A265982 A253679 A303411

Adjacent sequences:  A042025 A042026 A042027 * A042029 A042030 A042031

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 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 August 8 19:29 EDT 2020. Contains 336298 sequences. (Running on oeis4.)