A041364 Numerators of continued fraction convergents to sqrt(197).

14, 393, 11018, 308897, 8660134, 242792649, 6806854306, 190834713217, 5350178824382, 149995841795913, 4205233749109946, 117896540816874401, 3305308376621593174, 92666531086221483273, 2597968178790823124818, 72835775537229268978177, 2041999683221210354513774

Offset

0,1

Links

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

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (28,1).

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

Adjacent sequences: A041361 A041362 A041363 * A041365 A041366 A041367

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved