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A041942
Numerators of continued fraction convergents to sqrt(494).
2
22, 89, 200, 489, 689, 1867, 2556, 6979, 16514, 73035, 3230054, 12993251, 29216556, 71426363, 100642919, 272712201, 373355120, 1019422441, 2412200002, 10668222449, 471813987758, 1897924173481, 4267662334720, 10433248842921, 14700911177641
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 146070, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^19 -22*x^18 +89*x^17 -200*x^16 +489*x^15 -689*x^14 +1867*x^13 -2556*x^12 +6979*x^11 -16514*x^10 -73035*x^9 -16514*x^8 -6979*x^7 -2556*x^6 -1867*x^5 -689*x^4 -489*x^3 -200*x^2 -89*x -22) / (x^20 -146070*x^10 +1). - Colin Barker, Nov 27 2013
MATHEMATICA
Numerator[Convergents[Sqrt[494], 30]] (* Harvey P. Dale, Oct 19 2012 *)
CROSSREFS
Sequence in context: A197720 A195323 A041940 * A231265 A041944 A230357
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 27 2013
STATUS
approved