A042336 Numerators of continued fraction convergents to sqrt(695).

26, 53, 79, 290, 2979, 9227, 12206, 33639, 1761434, 3556507, 5317941, 19510330, 200421241, 620774053, 821195294, 2263164641, 118505756626, 239274677893, 357780434519, 1312615981450, 13483940249019, 41764436728507, 55248376977526, 152261190683559

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,67278,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -26*x^14 +53*x^13 -79*x^12 +290*x^11 -2979*x^10 +9227*x^9 -12206*x^8 -33639*x^7 -12206*x^6 -9227*x^5 -2979*x^4 -290*x^3 -79*x^2 -53*x -26) / (x^16 -67278*x^8 +1). - Colin Barker, Dec 08 2013

Mathematica

Numerator[Convergents[Sqrt[695], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

Crossrefs

Cf. A042337, A040668.

Sequence in context: A031459 A044992 A042338 * A042334 A042342 A042340

Adjacent sequences: A042333 A042334 A042335 * A042337 A042338 A042339

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 08 2013

Status

approved