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A041841 Denominators of continued fraction convergents to sqrt(442). 2
1, 42, 1765, 74172, 3116989, 130987710, 5504600809, 231324221688, 9721121911705, 408518444513298, 17167495791470221, 721443341686262580, 30317787846614498581, 1274068532899495202982, 53541196169625413023825, 2250004307657166842203632 (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 (42,1).

FORMULA

a(n) = F(n, 42), the n-th Fibonacci polynomial evaluated at x=42. - T. D. Noe, Jan 19 2006

a(n) = 42*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=42. G.f.: 1/(1-42*x-x^2). [Philippe Deléham, Nov 23 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*42, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[442], 30]] (* Vincenzo Librandi, Dec 25 2013 *)

CROSSREFS

Cf. A041840, A040420.

Sequence in context: A207716 A208077 A009986 * A236270 A216703 A258393

Adjacent sequences:  A041838 A041839 A041840 * A041842 A041843 A041844

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Nov 25 2013

STATUS

approved

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Last modified November 24 07:58 EST 2017. Contains 295173 sequences.