A042141 Denominators of continued fraction convergents to sqrt(595).

1, 2, 3, 5, 23, 28, 135, 163, 298, 759, 36730, 74219, 110949, 185168, 851621, 1036789, 4998777, 6035566, 11034343, 28104252, 1360038439, 2748181130, 4108219569, 6856400699, 31533822365, 38390223064, 185094714621, 223484937685, 408579652306, 1040644242297

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,37028,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 -2*x^17 +3*x^16 -5*x^15 +23*x^14 -28*x^13 +135*x^12 -163*x^11 +298*x^10 -759*x^9 -298*x^8 -163*x^7 -135*x^6 -28*x^5 -23*x^4 -5*x^3 -3*x^2 -2*x -1) / (x^20 -37028*x^10 +1). - Colin Barker, Dec 02 2013

Mathematica

Denominator[Convergents[Sqrt[595], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

Crossrefs

Cf. A042140, A040570.

Sequence in context: A024775 A024767 A041195 * A122004 A023231 A034470

Adjacent sequences: A042138 A042139 A042140 * A042142 A042143 A042144

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 02 2013

Status

approved