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A041810
Numerators of continued fraction convergents to sqrt(426).
2
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
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
Sequence in context: A363770 A022110 A041808 * A042855 A041812 A041806
KEYWORD
nonn,cofr,frac,easy
EXTENSIONS
More terms from Colin Barker, Nov 25 2013
STATUS
approved