A041714 Numerators of continued fraction convergents to sqrt(377).

19, 39, 97, 233, 8951, 18135, 45221, 108577, 4171147, 8450871, 21072889, 50596649, 1943745551, 3938087751, 9819921053, 23577929857, 905781255619, 1835140441095, 4576062137809, 10987264716713, 422092121372903, 855171507462519, 2132435136297941

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,466,0,0,0,-1).

Formula

G.f.: -(x+1)*(x^6-20*x^5+59*x^4-156*x^3-77*x^2-20*x-19) / (x^8-466*x^4+1). - Colin Barker, Nov 11 2013

Mathematica

Numerator[Convergents[Sqrt[377], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041715.

Sequence in context: A217731 A195048 A299964 * A041716 A041718 A041720

Adjacent sequences: A041711 A041712 A041713 * A041715 A041716 A041717

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 11 2013

Status

approved