A041384 Numerators of continued fraction convergents to sqrt(207).

14, 29, 43, 72, 187, 259, 446, 1151, 32674, 66499, 99173, 165672, 430517, 596189, 1026706, 2649601, 75215534, 153080669, 228296203, 381376872, 991049947, 1372426819, 2363476766, 6099380351, 173146126594, 352391633539, 525537760133, 877929393672

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,2302,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -14*x^14 +29*x^13 -43*x^12 +72*x^11 -187*x^10 +259*x^9 -446*x^8 -1151*x^7 -446*x^6 -259*x^5 -187*x^4 -72*x^3 -43*x^2 -29*x -14) / ((x^8 -48*x^4 +1)*(x^8 +48*x^4 +1)). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[207], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041385.

Sequence in context: A045527 A353197 A306212 * A041382 A047725 A257645

Adjacent sequences: A041381 A041382 A041383 * A041385 A041386 A041387

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved