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A041152
Numerators of continued fraction convergents to sqrt(86).
2
9, 28, 37, 65, 102, 881, 983, 1864, 2847, 10405, 190137, 580816, 770953, 1351769, 2122722, 18333545, 20456267, 38789812, 59246079, 216528049, 3956750961, 12086780932, 16043531893, 28130312825, 44173844718, 381521070569, 425694915287, 807215985856
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,20810,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -9*x^18 +28*x^17 -37*x^16 +65*x^15 -102*x^14 +881*x^13 -983*x^12 +1864*x^11 -2847*x^10 -10405*x^9 -2847*x^8 -1864*x^7 -983*x^6 -881*x^5 -102*x^4 -65*x^3 -37*x^2 -28*x -9) / (x^20 -20810*x^10 +1). - Colin Barker, Nov 10 2013
MATHEMATICA
Numerator[Convergents[Sqrt[86], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
CROSSREFS
Sequence in context: A141805 A256497 A124360 * A246750 A015245 A031308
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 10 2013
STATUS
approved