A041530 Numerators of continued fraction convergents to sqrt(282).

16, 17, 67, 84, 403, 487, 1864, 2351, 77096, 79447, 315437, 394884, 1894973, 2289857, 8764544, 11054401, 362505376, 373559777, 1483184707, 1856744484, 8910162643, 10766907127, 41210884024, 51977791151, 1704500200856, 1756477992007, 6973934176877

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, 4702, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -16*x^14 +17*x^13 -67*x^12 +84*x^11 -403*x^10 +487*x^9 -1864*x^8 -2351*x^7 -1864*x^6 -487*x^5 -403*x^4 -84*x^3 -67*x^2 -17*x -16) / (x^16 -4702*x^8 +1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[282], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041531.

Sequence in context: A041522 A097221 A097220 * A041528 A112012 A003999

Adjacent sequences: A041527 A041528 A041529 * A041531 A041532 A041533

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved