A041420 Numerators of continued fraction convergents to sqrt(226).

15, 451, 13545, 406801, 12217575, 366934051, 11020239105, 330974107201, 9940243455135, 298538277761251, 8966088576292665, 269281195566541201, 8087401955572528695, 242891339862742402051, 7294827597837844590225, 219087719274998080108801

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

Mathematica

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

Crossrefs

Cf. A041421.

Sequence in context: A267666 A020285 A041423 * A036506 A369828 A306675

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