A042338 Numerators of continued fraction convergents to sqrt(696).

26, 53, 79, 132, 211, 343, 554, 1451, 76006, 153463, 229469, 382932, 612401, 995333, 1607734, 4210801, 220569386, 445349573, 665918959, 1111268532, 1777187491, 2888456023, 4665643514, 12219743051, 640092282166, 1292404307383, 1932496589549, 3224900896932

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, 2902, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -26*x^14 +53*x^13 -79*x^12 +132*x^11 -211*x^10 +343*x^9 -554*x^8 -1451*x^7 -554*x^6 -343*x^5 -211*x^4 -132*x^3 -79*x^2 -53*x -26) / (x^16 -2902*x^8 +1). - Colin Barker, Dec 08 2013

Mathematica

Numerator[Convergents[Sqrt[696], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

Crossrefs

Cf. A042339, A040668.

Sequence in context: A023701 A031459 A044992 * A042336 A042334 A042342

Adjacent sequences: A042335 A042336 A042337 * A042339 A042340 A042341

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 08 2013

Status

approved