The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A042043 Denominators of continued fraction convergents to sqrt(545). 2
 1, 2, 3, 26, 29, 84, 3893, 7870, 11763, 101974, 113737, 329448, 15268345, 30866138, 46134483, 399942002, 446076485, 1292094972, 59882445197, 121056985366, 180939430563, 1568572429870, 1749511860433, 5067596150736, 234858934794289, 474785465739314 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 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, 3922, 0, 0, 0, 0, 0, -1). FORMULA G.f.: -(x^10-2*x^9+3*x^8-26*x^7+29*x^6-84*x^5-29*x^4-26*x^3-3*x^2-2*x-1) / (x^12-3922*x^6+1). - Colin Barker, Nov 30 2013 a(n) = 3922*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Jan 13 2014 MATHEMATICA Denominator[Convergents[Sqrt[545], 38]] (* Vincenzo Librandi, Jan 13 2014 *) PROG (Magma) I:=[1, 2, 3, 26, 29, 84, 3893, 7870, 11763, 101974, 113737, 329448]; [n le 12 select I[n] else 3922*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Jan 13 2014 CROSSREFS Cf. A042042, A040521. Sequence in context: A032812 A099006 A041659 * A178196 A258766 A056722 Adjacent sequences: A042040 A042041 A042042 * A042044 A042045 A042046 KEYWORD nonn,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Nov 30 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 June 13 17:32 EDT 2024. Contains 373391 sequences. (Running on oeis4.)