A041708 Numerators of continued fraction convergents to sqrt(374).

19, 39, 58, 1083, 1141, 3365, 129011, 261387, 390398, 7288551, 7678949, 22646449, 868244011, 1759134471, 2627378482, 49051947147, 51679325629, 152410598405, 5843282065019, 11838974728443, 17682256793462, 330119597010759, 347801853804221, 1025723304619201

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,6730,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -19*x^10 +39*x^9 -58*x^8 +1083*x^7 -1141*x^6 -3365*x^5 -1141*x^4 -1083*x^3 -58*x^2 -39*x -19) / (x^12 -6730*x^6 +1). - Colin Barker, Nov 09 2013

a(n) = 6730*a(n-6) - a(n-12). - Wesley Ivan Hurt, Apr 16 2023

Mathematica

Numerator[Convergents[Sqrt[374], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041709.

Sequence in context: A041712 A041710 A042629 * A079044 A258016 A217731

Adjacent sequences: A041705 A041706 A041707 * A041709 A041710 A041711

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved