A041772 Numerators of continued fraction convergents to sqrt(407).

20, 101, 121, 343, 464, 2663, 106984, 537583, 644567, 1826717, 2471284, 14183137, 569796764, 2863166957, 3432963721, 9729094399, 13162058120, 75539384999, 3034737458080, 15249226675399, 18283964133479, 51817154942357, 70101119075836, 402322750321537

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, 5326, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -20*x^10 +101*x^9 -121*x^8 +343*x^7 -464*x^6 -2663*x^5 -464*x^4 -343*x^3 -121*x^2 -101*x -20) / (x^12 -5326*x^6 +1). - Colin Barker, Nov 24 2013

Mathematica

Numerator[Convergents[Sqrt[407], 30]] (* Vincenzo Librandi, Nov 08 2013 *)

Crossrefs

Cf. A041773, A040386.

Sequence in context: A240437 A174078 A239857 * A043462 A044271 A044652

Adjacent sequences: A041769 A041770 A041771 * A041773 A041774 A041775

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 24 2013

Status

approved