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A042201 Denominators of continued fraction convergents to sqrt(626). 2
1, 50, 2501, 125100, 6257501, 313000150, 15656265001, 783126250200, 39171968775001, 1959381565000250, 98008250218787501, 4902371892504375300, 245216602875437552501, 12265732515664382000350, 613531842386094537570001, 30688857851820391260500400 (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 (50, 1).

FORMULA

a(n) = F(n, 50), the n-th Fibonacci polynomial evaluated at x=50. - T. D. Noe, Jan 19 2006

a(n) = 50*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=50. G.f.: 1/(1-50*x-x^2). [Philippe Deléham, Nov 23 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*50, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[626], 30]] (* Vincenzo Librandi, Jan 16 2014_ *)

CROSSREFS

Cf. A042200, A040600.

Sequence in context: A223871 A223796 A165800 * A097838 A203842 A251058

Adjacent sequences:  A042198 A042199 A042200 * A042202 A042203 A042204

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Dec 04 2013

STATUS

approved

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