A042417 Denominators of continued fraction convergents to sqrt(736).

1, 7, 8, 23, 31, 85, 116, 897, 48554, 340775, 389329, 1119433, 1508762, 4136957, 5645719, 43656990, 2363123179, 16585519243, 18948642422, 54482804087, 73431446509, 201345697105, 274777143614, 2124785702403, 115013205073376, 807217221216035

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,48670,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^14 -7*x^13 +8*x^12 -23*x^11 +31*x^10 -85*x^9 +116*x^8 -897*x^7 -116*x^6 -85*x^5 -31*x^4 -23*x^3 -8*x^2 -7*x -1) / (x^16 -48670*x^8 +1). - Colin Barker, Dec 12 2013

Mathematica

Denominator[Convergents[Sqrt[736], 30]] (* Vincenzo Librandi, Jan 21 2014 *)

Crossrefs

Cf. A042416, A040708.

Sequence in context: A288068 A058537 A002362 * A042845 A295337 A041104

Adjacent sequences: A042414 A042415 A042416 * A042418 A042419 A042420

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 12 2013

Status

approved