A041810 Numerators of continued fraction convergents to sqrt(426).

20, 21, 41, 62, 227, 516, 3323, 7162, 24809, 31971, 56780, 88751, 3606820, 3695571, 7302391, 10997962, 40296277, 91590516, 589839373, 1271269262, 4403647159, 5674916421, 10078563580, 15753480001, 640217763620, 655971243621, 1296189007241

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, 0, 0, 177502, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^23 -20*x^22 +21*x^21 -41*x^20 +62*x^19 -227*x^18 +516*x^17 -3323*x^16 +7162*x^15 -24809*x^14 +31971*x^13 -56780*x^12 -88751*x^11 -56780*x^10 -31971*x^9 -24809*x^8 -7162*x^7 -3323*x^6 -516*x^5 -227*x^4 -62*x^3 -41*x^2 -21*x -20) / (x^24 -177502*x^12 +1). - Colin Barker, Nov 25 2013

Mathematica

Numerator/@Convergents[Sqrt[426], 50] (* Harvey P. Dale, Jun 29 2011 *)

Crossrefs

Cf. A041811, A040405.

Sequence in context: A363770 A022110 A041808 * A042855 A041812 A041806

Adjacent sequences: A041807 A041808 A041809 * A041811 A041812 A041813

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 25 2013

Status

approved