A042433 Denominators of continued fraction convergents to sqrt(744).

1, 3, 4, 7, 11, 18, 29, 47, 76, 275, 14926, 45053, 59979, 105032, 165011, 270043, 435054, 705097, 1140151, 4125550, 223919851, 675885103, 899804954, 1575690057, 2475495011, 4051185068, 6526680079, 10577865147, 17104545226, 61891500825, 3359245589776

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,15002,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 -3*x^17 +4*x^16 -7*x^15 +11*x^14 -18*x^13 +29*x^12 -47*x^11 +76*x^10 -275*x^9 -76*x^8 -47*x^7 -29*x^6 -18*x^5 -11*x^4 -7*x^3 -4*x^2 -3*x -1) / (x^20 -15002*x^10 +1). - Colin Barker, Dec 14 2013

Mathematica

Denominator[Convergents[Sqrt[744], 30]] (* Vincenzo Librandi, Jan 22 2014 *)

Crossrefs

Cf. A042432, A040716.

Sequence in context: A000204 A075193 A358995 * A024319 A041209 A293420

Adjacent sequences: A042430 A042431 A042432 * A042434 A042435 A042436

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 14 2013

Status

approved