This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A041048 Numerators of continued fraction convergents to sqrt(30). 3
 5, 11, 115, 241, 2525, 5291, 55435, 116161, 1217045, 2550251, 26719555, 55989361, 586613165, 1229215691, 12878770075, 26986755841, 282746328485, 592479412811, 6207540456595, 13007560326001, 136283143716605, 285573847759211, 2992021621308715, 6269617090376641 (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 (0,22,0,-1). FORMULA G.f.: (5+11*x+5*x^2-x^3)/(1-22*x^2+x^4). [Colin Barker, Jan 02 2012] MATHEMATICA Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[30], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011 *) Numerator[Convergents[Sqrt[30], 30]] (* Harvey P. Dale, May 06 2012 *) CROSSREFS Cf. A010485, A041049. Sequence in context: A056265 A302144 A041909 * A222568 A248253 A262309 Adjacent sequences:  A041045 A041046 A041047 * A041049 A041050 A041051 KEYWORD nonn,cofr,frac,easy AUTHOR EXTENSIONS More terms from Harvey P. Dale, Apr 04 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 October 20 10:32 EDT 2019. Contains 328257 sequences. (Running on oeis4.)