A042637 Denominators of continued fraction convergents to sqrt(848).

1, 8, 25, 83, 274, 2275, 132224, 1060067, 3312425, 10997342, 36304451, 301432950, 17519415551, 140456757358, 438889687625, 1457125820233, 4810267148324, 39939263006825, 2321287521544174, 18610239435360217, 58152005827624825, 193066256918234692

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,132498,0,0,0,0,0,-1).

Formula

G.f.: -(x^10 -8*x^9 +25*x^8 -83*x^7 +274*x^6 -2275*x^5 -274*x^4 -83*x^3 -25*x^2 -8*x -1) / ((x^2 -7*x -1)*(x^2 +7*x -1)*(x^4 -7*x^3 +50*x^2 +7*x +1)*(x^4 +7*x^3 +50*x^2 -7*x +1)). - Colin Barker, Dec 20 2013

Mathematica

Denominator[Convergents[Sqrt[848], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A042636, A040818.

Sequence in context: A231791 A035073 A041120 * A133661 A229443 A335769

Adjacent sequences: A042634 A042635 A042636 * A042638 A042639 A042640

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved