A041752 Numerators of continued fraction convergents to sqrt(396).

19, 20, 179, 199, 7741, 7940, 71261, 79201, 3080899, 3160100, 28361699, 31521799, 1226190061, 1257711860, 11287884941, 12545596801, 488020563379, 500566160180, 4492549844819, 4993116004999

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,398,0,0,0,-1).

Formula

G.f.: (19 +20*x +179*x^2 +199*x^3 +179*x^4 -20*x^5 +19*x^6 -x^7)/((1 -20*x^2 +x^4)*(1 +20*x^2 +x^4)). [Bruno Berselli, Nov 07 2013]

Mathematica

Numerator[Convergents[Sqrt[396], 30]] (* Harvey P. Dale, Nov 30 2012 *)

Crossrefs

Cf. A041753.

Sequence in context: A041746 A041748 A041750 * A041754 A197353 A041179

Adjacent sequences: A041749 A041750 A041751 * A041753 A041754 A041755

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved