login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041038 Numerators of continued fraction convergents to sqrt(24). 6
4, 5, 44, 49, 436, 485, 4316, 4801, 42724, 47525, 422924, 470449, 4186516, 4656965, 41442236, 46099201, 410235844, 456335045, 4060916204, 4517251249, 40198926196, 44716177445, 397928345756 (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 (0,10,0,-1).

FORMULA

a(2n) = 2*A041006(2n) ; a(2n-1) = A041006(2n-1) = A001079(n). [From M. F. Hasler, Feb 13 2009]

G.f.: (4+5*x+4*x^2-x^3)/(1-10*x^2+x^4)

MATHEMATICA

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[24], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)

Numerator[Convergents[Sqrt[24], 30]] (* Vincenzo Librandi, Oct 28 2013 *)

CROSSREFS

Cf. A010480, A041039.

Sequence in context: A271293 A256290 A041037 * A239860 A151486 A042383

Adjacent sequences:  A041035 A041036 A041037 * A041039 A041040 A041041

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

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 February 21 11:48 EST 2019. Contains 320372 sequences. (Running on oeis4.)