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A041386 Numerators of continued fraction convergents to sqrt(208). 2
14, 29, 72, 101, 274, 649, 18446, 37541, 93528, 131069, 355666, 842401, 23942894, 48728189, 121399272, 170127461, 461654194, 1093435849, 31077857966, 63249151781, 157576161528, 220825313309, 599226788146, 1419278889601, 40339035696974, 82097350283549 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1298,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 -14*x^10 +29*x^9 -72*x^8 +101*x^7 -274*x^6 -649*x^5 -274*x^4 -101*x^3 -72*x^2 -29*x -14) / ((x^2 -3*x -1)*(x^2 +3*x -1)*(x^4 -3*x^3 +10*x^2 +3*x +1)*(x^4 +3*x^3 +10*x^2 -3*x +1)). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[208], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041387.

Sequence in context: A195145 A263119 A196305 * A041388 A042617 A041390

Adjacent sequences:  A041383 A041384 A041385 * A041387 A041388 A041389

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 07 2013

STATUS

approved

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Last modified April 22 11:46 EDT 2019. Contains 322330 sequences. (Running on oeis4.)