A041706 Numerators of continued fraction convergents to sqrt(373).

19, 58, 309, 1603, 5118, 196087, 593379, 3162982, 16408289, 52387849, 2007146551, 6073827502, 32376284061, 167955247807, 536242027482, 20545152292123, 62171698903851, 331403646811378, 1719189932960741, 5488973445693601, 210300180869317579, 636389516053646338

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, 10236, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9 -19*x^8 +58*x^7 -309*x^6 +1603*x^5 +5118*x^4 +1603*x^3 +309*x^2 +58*x +19) / (x^10 +10236*x^5 -1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[373], 30]] (* Vincenzo Librandi, Nov 07 2013 *)
LinearRecurrence[{0, 0, 0, 0, 10236, 0, 0, 0, 0, 1}, {19, 58, 309, 1603, 5118, 196087, 593379, 3162982, 16408289, 52387849}, 30] (* Harvey P. Dale, Jan 03 2022 *)

Crossrefs

Cf. A041707.

Sequence in context: A061973 A041702 A041704 * A042619 A141887 A141773

Adjacent sequences: A041703 A041704 A041705 * A041707 A041708 A041709

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms in Data from Colin Barker, Nov 10 2013

Status

approved