A041398 Numerators of continued fraction convergents to sqrt(214).

14, 15, 29, 44, 117, 395, 512, 2443, 22499, 24942, 47441, 262147, 833882, 11936495, 36643367, 195153330, 231796697, 426950027, 4074346940, 16724337787, 20798684727, 79120391968, 179039468663

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1390718379850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 1390718379850*a(n-26) - a(n-52) for n>51. [Bruno Berselli, Nov 16 2013]

Mathematica

Numerator[Convergents[Sqrt[214], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041399.

Sequence in context: A085900 A075659 A022104 * A041919 A041400 A041396

Adjacent sequences: A041395 A041396 A041397 * A041399 A041400 A041401

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved