A041086 Numerators of continued fraction convergents to sqrt(51).

7, 50, 707, 4999, 70693, 499850, 7068593, 49980001, 706788607, 4997500250, 70671792107, 499700044999, 7066472422093, 49965006999650, 706576570417193, 4996000999920001, 70650590569297207, 499550134985000450, 7064352480359303507, 49950017497500124999

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..80

Index entries for linear recurrences with constant coefficients, signature (0,100,0,-1).

Formula

G.f.: -(x^3-7*x^2-50*x-7) / (x^4-100*x^2+1). - Colin Barker, Nov 04 2013

Mathematica

Numerator[Convergents[Sqrt[51], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
LinearRecurrence[{0, 100, 0, -1}, {7, 50, 707, 4999}, 20] (* Harvey P. Dale, Dec 04 2014 *)

Crossrefs

Cf. A041087, A010504.

Sequence in context: A197570 A319884 A204463 * A197890 A320989 A015495

Adjacent sequences: A041083 A041084 A041085 * A041087 A041088 A041089

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 04 2013

Status

approved