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A041132 Numerators of continued fraction convergents to sqrt(75). 2
8, 9, 17, 26, 433, 459, 892, 1351, 22508, 23859, 46367, 70226, 1169983, 1240209, 2410192, 3650401, 60816608, 64467009, 125283617, 189750626, 3161293633, 3351044259, 6512337892, 9863382151, 164326452308, 174189834459, 338516286767, 512706121226, 8541814226383 (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 (0,0,0,52,0,0,0,-1).

FORMULA

G.f.: -(x^7-8*x^6+9*x^5-17*x^4-26*x^3-17*x^2-9*x-8) / (x^8-52*x^4+1). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[75], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A010527, A041133.

Sequence in context: A041130 A041307 A042289 * A020693 A042753 A042727

Adjacent sequences:  A041129 A041130 A041131 * A041133 A041134 A041135

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 05 2013

STATUS

approved

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Last modified May 8 21:32 EDT 2021. Contains 343668 sequences. (Running on oeis4.)