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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A041336 Numerators of continued fraction convergents to sqrt(182). 2
 13, 27, 715, 1457, 38597, 78651, 2083523, 4245697, 112471645, 229188987, 6071385307, 12371959601, 327742334933, 667856629467, 17692014701075, 36051886031617, 955041051523117, 1946133989077851, 51554524767547243, 105055183524172337, 2782989296396028005 (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 (0,54,0,-1). FORMULA G.f.: -(x+1)*(x^2-14*x-13) / (x^4-54*x^2+1). - Colin Barker, Nov 06 2013 a(0)=13, a(1)=27, a(2)=715, a(3)=1457, a(n)=54*a(n-2)-a(n-4). - Harvey P. Dale, Mar 27 2015 MATHEMATICA Numerator[Convergents[Sqrt[182], 30]] (* Vincenzo Librandi, Nov 01 2013 *) LinearRecurrence[{0, 54, 0, -1}, {13, 27, 715, 1457}, 30] (* Harvey P. Dale, Mar 27 2015 *) CROSSREFS Cf. A041337. Sequence in context: A146372 A018946 A042397 * A145417 A157206 A138685 Adjacent sequences: A041333 A041334 A041335 * A041337 A041338 A041339 KEYWORD nonn,cofr,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Nov 06 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 24 14:54 EDT 2024. Contains 371960 sequences. (Running on oeis4.)