A042453 Denominators of continued fraction convergents to sqrt(754).

1, 2, 11, 13, 24, 37, 61, 342, 745, 40572, 81889, 450017, 531906, 981923, 1513829, 2495752, 13992589, 30480930, 1659962809, 3350406548, 18411995549, 21762402097, 40174397646, 61936799743, 102111197389, 572492786688, 1247096770765, 67915718407998

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,40914,0,0,0,0,0,0,0,0,1).

Formula

G.f.: -(x^16 -2*x^15 +11*x^14 -13*x^13 +24*x^12 -37*x^11 +61*x^10 -342*x^9 +745*x^8 +342*x^7 +61*x^6 +37*x^5 +24*x^4 +13*x^3 +11*x^2 +2*x +1) / (x^18 +40914*x^9 -1). - Colin Barker, Dec 14 2013

Mathematica

Denominator[Convergents[Sqrt[754], 30]] (* Harvey P. Dale, Apr 14 2013 *)
CoefficientList[Series[-(x^16 - 2 x^15 + 11 x^14 - 13 x^13 + 24 x^12 - 37 x^11 + 61 x^10 - 342 x^9 + 745 x^8 + 342 x^7 + 61 x^6 + 37 x^5 + 24 x^4 + 13 x^3 + 11 x^2 + 2 x + 1)/(x^18 + 40914 x^9 - 1), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 22 2014 *)

Crossrefs

Cf. A042452, A040726.

Sequence in context: A090430 A363215 A022115 * A041885 A247338 A154742

Adjacent sequences: A042450 A042451 A042452 * A042454 A042455 A042456

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 14 2013

Status

approved