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A041421 Denominators of continued fraction convergents to sqrt(226). 2
1, 30, 901, 27060, 812701, 24408090, 733055401, 22016070120, 661215159001, 19858470840150, 596415340363501, 17912318681745180, 537965975792718901, 16156891592463312210, 485244713749692085201, 14573498304083225868240 (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 (30,1).

FORMULA

a(n) = F(n, 30), the n-th Fibonacci polynomial evaluated at x=30. - T. D. Noe, Jan 19 2006

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

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*30, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 27 2009 *)

Denominator[Convergents[Sqrt[226], 30]] (* Vincenzo Librandi, Dec 17 2013 *)

CROSSREFS

Cf. A041420, A040210.

Sequence in context: A056379 A171304 A009974 * A042742 A144350 A111216

Adjacent sequences:  A041418 A041419 A041420 * A041422 A041423 A041424

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Nov 17 2013

STATUS

approved

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