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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041420 Numerators of continued fraction convergents to sqrt(226). 2
15, 451, 13545, 406801, 12217575, 366934051, 11020239105, 330974107201, 9940243455135, 298538277761251, 8966088576292665, 269281195566541201, 8087401955572528695, 242891339862742402051, 7294827597837844590225, 219087719274998080108801 (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 (30,1).

FORMULA

a(n) = 30*a(n-1)+a(n-2), n>1 ; a(0)=15, a(1)=451 . G.f.: (15+x)/(1-30*x-x^2). - Philippe Deléham, Nov 22 2008

a(n) = (15/2)*{[15-sqrt(226)]^n+[15+sqrt(226)]^n}+(1/2)*sqrt(226)*{[15+sqrt(226)]^n-[15 -sqrt(226)]^n}, with n>=0. - Paolo P. Lava, Nov 28 2008

MATHEMATICA

Numerator[Convergents[Sqrt[226], 20]] (* Harvey P. Dale, Feb 02 2012 *)

CROSSREFS

Cf. A041421.

Sequence in context: A267666 A020285 A041423 * A036506 A219561 A209488

Adjacent sequences:  A041417 A041418 A041419 * A041421 A041422 A041423

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Nov 07 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 July 22 12:46 EDT 2017. Contains 289669 sequences.