A041292 Numerators of continued fraction convergents to sqrt(159).

12, 13, 25, 38, 63, 227, 290, 517, 807, 1324, 32583, 33907, 66490, 100397, 166887, 601058, 767945, 1369003, 2136948, 3505951, 86279772, 89785723, 176065495, 265851218, 441916713, 1591601357, 2033518070, 3625119427, 5658637497, 9283756924, 228468803673

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, 0, 0, 2648, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -12*x^18 +13*x^17 -25*x^16 +38*x^15 -63*x^14 +227*x^13 -290*x^12 +517*x^11 -807*x^10 -1324*x^9 -807*x^8 -517*x^7 -290*x^6 -227*x^5 -63*x^4 -38*x^3 -25*x^2 -13*x -12) / (x^20 -2648*x^10 +1). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[159], 30]] (* Harvey P. Dale, Jan 05 2012 *)

Crossrefs

Cf. A041293.

Sequence in context: A108709 A138821 A022102 * A041679 A041294 A041290

Adjacent sequences: A041289 A041290 A041291 * A041293 A041294 A041295

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved