A041210 Numerators of continued fraction convergents to sqrt(116).

10, 11, 43, 97, 140, 657, 797, 2251, 7550, 9801, 203570, 213371, 843683, 1900737, 2744420, 12878417, 15622837, 44124091, 147995110, 192119201, 3990379130, 4182498331, 16537874123, 37258246577, 53796120700, 252442729377, 306238850077, 864920429531

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,19602,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -10*x^18 +11*x^17 -43*x^16 +97*x^15 -140*x^14 +657*x^13 -797*x^12 +2251*x^11 -7550*x^10 -9801*x^9 -7550*x^8 -2251*x^7 -797*x^6 -657*x^5 -140*x^4 -97*x^3 -43*x^2 -11*x -10) / ((x^10 -140*x^5 -1)*(x^10 +140*x^5 -1)). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[116], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

Crossrefs

Cf. A041211.

Sequence in context: A097990 A280203 A042395 * A267340 A344082 A042413

Adjacent sequences: A041207 A041208 A041209 * A041211 A041212 A041213

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved