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A041084
Numerators of continued fraction convergents to sqrt(50).
3
7, 99, 1393, 19601, 275807, 3880899, 54608393, 768398401, 10812186007, 152139002499, 2140758220993, 30122754096401, 423859315570607, 5964153172084899, 83922003724759193, 1180872205318713601, 16616132878186749607, 233806732499933208099, 3289910387877251662993
OFFSET
0,1
FORMULA
a(n) = 14*a(n-1)+a(n-2), n>1 ; a(0)=7, a(1)=99 . G.f.: (7+x)/(1-14*x-x^2). - Philippe Deléham, Nov 21 2008
MATHEMATICA
Numerator[Convergents[Sqrt[50], 30]] (* or *) LinearRecurrence[{14, 1}, {7, 99}, 30] (* Harvey P. Dale, Aug 18 2013 *)
CoefficientList[Series[(7 + x)/(1 - 14 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 29 2013 *)
CROSSREFS
Sequence in context: A092818 A238472 A041087 * A115066 A340887 A272957
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 04 2013
STATUS
approved