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A041386
Numerators of continued fraction convergents to sqrt(208).
3
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
OFFSET
0,1
LINKS
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
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 07 2013
STATUS
approved