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A041124 Numerators of continued fraction convergents to sqrt(71). 2
8, 17, 42, 59, 455, 514, 1483, 3480, 57163, 117806, 292775, 410581, 3166842, 3577423, 10321688, 24220799, 397854472, 819929743, 2037713958, 2857643701, 22041219865, 24898863566, 71838946997, 168576757560, 2769067067957, 5706710893474, 14182488854905 (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 (0,0,0,0,0,0,0,6960,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -8*x^14 +17*x^13 -42*x^12 +59*x^11 -455*x^10 +514*x^9 -1483*x^8 -3480*x^7 -1483*x^6 -514*x^5 -455*x^4 -59*x^3 -42*x^2 -17*x -8) / (x^16 -6960*x^8 +1). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[71], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A010523, A041125.

Sequence in context: A297728 A188129 A041849 * A048695 A153873 A111325

Adjacent sequences:  A041121 A041122 A041123 * A041125 A041126 A041127

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 August 24 13:48 EDT 2019. Contains 326279 sequences. (Running on oeis4.)