This site is supported by donations to The OEIS Foundation.

 Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A042012 Numerators of continued fraction convergents to sqrt(530). 2
 23, 1059, 48737, 2242961, 103224943, 4750590339, 218630380537, 10061748095041, 463059042752423, 21310777714706499, 980758833919251377, 45136217138000269841, 2077246747181931664063, 95598486587506856816739, 4399607629772497345234057 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (46,1). FORMULA a(n)=46*a(n-1)+a(n-2), n>1 ; a(0)=23, a(1)=1059 . G.f.: (23+x)/(1-46*x-x^2). [From Philippe Deléham, Nov 23 2008] a(n)=(1/2)*sqrt(530)*{[23+sqrt(530)]^n-[23-sqrt(530)]^n}+(23/2)*{[23+sqrt(530)]^n+[23-sqrt(530)]^n}, with n>=0 [From Paolo P. Lava, Nov 28 2008] MATHEMATICA Numerator[Convergents[Sqrt[530], 30]] (* Vincenzo Librandi, Nov 13 2013 *) LinearRecurrence[{46, 1}, {23, 1059}, 30] (* Harvey P. Dale, May 05 2016 *) CROSSREFS Cf. A042013, A040506. Sequence in context: A069479 A174748 A042015 * A128404 A126741 A273477 Adjacent sequences:  A042009 A042010 A042011 * A042013 A042014 A042015 KEYWORD nonn,cofr,frac,easy,less AUTHOR EXTENSIONS Additional term 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.

Last modified December 18 08:16 EST 2018. Contains 318219 sequences. (Running on oeis4.)