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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041613 Denominators of continued fraction convergents to sqrt(325). 3
1, 36, 1297, 46728, 1683505, 60652908, 2185188193, 78727427856, 2836372591009, 102188140704180, 3681609437941489, 132640127906597784, 4778726214075461713, 172166783834623219452, 6202782944260511361985, 223472352777213032250912 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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 (36,1).

FORMULA

a(n) = F(n, 36), the n-th Fibonacci polynomial evaluated at x=36. - T. D. Noe, Jan 19 2006

a(n) = 36*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=36. G.f.: 1/(1-36*x-x^2). [Philippe Deléham, Nov 23 2008]

MAPLE

with (combinat):seq(fibonacci(3*n, 3)/10, n=1..15); - Zerinvary Lajos, Apr 20 2008

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*36, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 27 2009 *)

Denominator[Convergents[Sqrt[325], 30]] (* Vincenzo Librandi Dec 21 2013 *)

CROSSREFS

Cf. A041612, A040306.

Sequence in context: A224194 A224011 A009980 * A255821 A209042 A283729

Adjacent sequences:  A041610 A041611 A041612 * A041614 A041615 A041616

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 20 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 23 13:09 EST 2017. Contains 295127 sequences.