A041856 Numerators of continued fraction convergents to sqrt(450).

21, 85, 106, 297, 1294, 2885, 4179, 19601, 827421, 3329285, 4156706, 11642697, 50727494, 113097685, 163825179, 768398401, 32436558021, 130514630485, 162951188506, 456417007497, 1988619218494, 4433655444485, 6422274662979, 30122754096401, 1271577946711821

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -21*x^14 +85*x^13 -106*x^12 +297*x^11 -1294*x^10 +2885*x^9 -4179*x^8 -19601*x^7 -4179*x^6 -2885*x^5 -1294*x^4 -297*x^3 -106*x^2 -85*x -21) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - Colin Barker, Nov 26 2013

Mathematica

Numerator/@Convergents[Sqrt[450], 30] (* Harvey P. Dale, May 26 2011 *)

Crossrefs

Cf. A041857, A040428.

Sequence in context: A064762 A104676 A143244 * A044208 A044589 A374527

Adjacent sequences: A041853 A041854 A041855 * A041857 A041858 A041859

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved