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A041143 Denominators of continued fraction convergents to sqrt(80). 1
0, 1, 1, 17, 18, 305, 323, 5473, 5796, 98209, 104005, 1762289, 1866294, 31622993, 33489287, 567451585, 600940872, 10182505537, 10783446409, 182717648081, 193501094490, 3278735159921, 3472236254411, 58834515230497, 62306751484908, 1055742538989025 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

To Editor(s): Output of Mathematica program similar to: A041135, A041137, A041139, A041141 is: 1,1,17,18,305,323,5473,5796,... (First term is "1") (?)

LINKS

Table of n, a(n) for n=0..25.

FORMULA

G.f.: x*(1+x-x^2)/(1-18*x^2+x^4). a(n)=18*a(n-2)-a(n-4).

MATHEMATICA

Denominator/@Convergents[Sqrt[80], 50] (* From Vladimir Joseph Stephan Orlovsky, Jul 05 2011 *)

CROSSREFS

Cf. A041142.

Sequence in context: A041606 A140142 A197351 * A041608 A041609 A041610

Adjacent sequences:  A041140 A041141 A041142 * A041144 A041145 A041146

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 21 00:52 EDT 2013. Contains 225469 sequences.