A041268 Numerators of continued fraction convergents to sqrt(147).

12, 97, 2340, 18817, 453948, 3650401, 88063572, 708158977, 17083879020, 137379191137, 3314184466308, 26650854921601, 642934702584732, 5170128475599457, 124726018116971700, 1002978273411373057, 24196204579989925068, 194572614913330773601

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, 194, 0, -1).

Formula

G.f.: -(x^3-12*x^2-97*x-12) / ((x^2-14*x+1)*(x^2+14*x+1)). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[147], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

Crossrefs

Cf. A041269.

Sequence in context: A270496 A128594 A166793 * A216028 A378728 A238755

Adjacent sequences: A041265 A041266 A041267 * A041269 A041270 A041271

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved