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A041308 Numerators of continued fraction convergents to sqrt(167). 2
12, 13, 155, 168, 4187, 4355, 52092, 56447, 1406820, 1463267, 17502757, 18966024, 472687333, 491653357, 5880874260, 6372527617, 158821537068, 165194064685, 1975956248603, 2141150313288, 53363563767515, 55504714080803, 663915418656348, 719420132737151 (list; graph; refs; listen; history; text; internal format)
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: A164852 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

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Last modified April 11 21:52 EDT 2021. Contains 342888 sequences. (Running on oeis4.)