A041362 Numerators of continued fraction convergents to sqrt(195).

13, 14, 377, 391, 10543, 10934, 294827, 305761, 8244613, 8550374, 230554337, 239104711, 6447276823, 6686381534, 180293196707, 186979578241, 5041762230973, 5228741809214, 140989049270537, 146217791079751, 3942651617344063, 4088869408423814, 110253256236363227

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,28,0,-1).

Formula

G.f.: -(x^3-13*x^2-14*x-13) / (x^4-28*x^2+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[195], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 28, 0, -1}, {13, 14, 377, 391}, 30] (* Harvey P. Dale, Mar 27 2019 *)

Crossrefs

Cf. A041363.

Sequence in context: A041083 A041360 A041361 * A041835 A042505 A156371

Adjacent sequences: A041359 A041360 A041361 * A041363 A041364 A041365

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved