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A041364
Numerators of continued fraction convergents to sqrt(197).
3
14, 393, 11018, 308897, 8660134, 242792649, 6806854306, 190834713217, 5350178824382, 149995841795913, 4205233749109946, 117896540816874401, 3305308376621593174, 92666531086221483273, 2597968178790823124818, 72835775537229268978177, 2041999683221210354513774
OFFSET
0,1
FORMULA
From Philippe Deléham, Nov 21 2008: (Start)
a(n) = 28*a(n-1) + a(n-2), n > 1; a(0)=14, a(1)=393.
G.f.: (14+x)/(1-28*x-x^2). (End)
MATHEMATICA
Numerator[Convergents[Sqrt[197], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
CROSSREFS
Cf. A041365.
Sequence in context: A223003 A228185 A041367 * A353609 A222904 A239785
KEYWORD
nonn,cofr,frac,easy
EXTENSIONS
More terms from Colin Barker, Nov 07 2013
STATUS
approved