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A041716 Numerators of continued fraction convergents to sqrt(378). 2
19, 39, 136, 175, 836, 1011, 3869, 8749, 336331, 681411, 2380564, 3061975, 14628464, 17690439, 67699781, 153090001, 5885119819, 11923329639, 41655108736, 53578438375, 255968862236, 309547300611, 1184610764069, 2678768828749, 102977826256531, 208634421341811 (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 (0,0,0,0,0,0,0,17498,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -19*x^14 +39*x^13 -136*x^12 +175*x^11 -836*x^10 +1011*x^9 -3869*x^8 -8749*x^7 -3869*x^6 -1011*x^5 -836*x^4 -175*x^3 -136*x^2 -39*x -19) / (x^16 -17498*x^8 +1). - Colin Barker, Nov 11 2013

MATHEMATICA

Numerator[Convergents[Sqrt[378], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

CROSSREFS

Cf. A041717.

Sequence in context: A195048 A299964 A041714 * A041718 A041720 A098850

Adjacent sequences:  A041713 A041714 A041715 * A041717 A041718 A041719

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 11 2013

STATUS

approved

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Last modified September 19 22:06 EDT 2021. Contains 347576 sequences. (Running on oeis4.)