A041308 Numerators of continued fraction convergents to sqrt(167).

12, 13, 155, 168, 4187, 4355, 52092, 56447, 1406820, 1463267, 17502757, 18966024, 472687333, 491653357, 5880874260, 6372527617, 158821537068, 165194064685, 1975956248603, 2141150313288, 53363563767515, 55504714080803, 663915418656348, 719420132737151

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, 336, 0, 0, 0, -1).

Formula

G.f.: -(x^7-12*x^6+13*x^5-155*x^4-168*x^3-155*x^2-13*x-12)/(x^8-336*x^4+1). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[167], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 0, 0, 336, 0, 0, 0, -1}, {12, 13, 155, 168, 4187, 4355, 52092, 56447}, 30] (* Harvey P. Dale, Mar 28 2020 *)

Crossrefs

Cf. A041309, A010215 (continued fraction).

Sequence in context: A362113 A033048 A108771 * A260387 A041309 A041310

Adjacent sequences: A041305 A041306 A041307 * A041309 A041310 A041311

Keyword

nonn,frac,cofr,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved