A041400 Numerators of continued fraction convergents to sqrt(215).

14, 15, 29, 44, 1261, 1305, 2566, 3871, 110954, 114825, 225779, 340604, 9762691, 10103295, 19865986, 29969281, 859005854, 888975135, 1747980989, 2636956124, 75582752461, 78219708585, 153802461046, 232022169631, 6650423210714, 6882445380345, 13532868591059

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, 0, 0, 88, 0, 0, 0, -1).

Formula

G.f.: -(x^7-14*x^6+15*x^5-29*x^4-44*x^3-29*x^2-15*x-14) / (x^8-88*x^4+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[215], 30]] (* Harvey P. Dale, Jan 23 2012 *)

Crossrefs

Cf. A041401.

Sequence in context: A022104 A041398 A041919 * A041396 A041394 A041392

Adjacent sequences: A041397 A041398 A041399 * A041401 A041402 A041403

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved