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A041272
Numerators of continued fraction convergents to sqrt(149).
2
12, 49, 61, 354, 1123, 3723, 19738, 23461, 113582, 2749429, 11111298, 13860727, 80414933, 255105526, 845731511, 4483763081, 5329494592, 25801741449, 624571289368, 2524086898921, 3148658188289, 18267377840366, 57950791709387, 192119752968527, 1018549556552022
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,227164,0,0,0,0,0,0,0,0,1).
FORMULA
G.f.: -(x^17 -12*x^16 +49*x^15 -61*x^14 +354*x^13 -1123*x^12 +3723*x^11 -19738*x^10 +23461*x^9 +113582*x^8 +23461*x^7 +19738*x^6 +3723*x^5 +1123*x^4 +354*x^3 +61*x^2 +49*x +12) / ((x^6 +61*x^3 -1)*(x^12 -61*x^9 +3722*x^6 +61*x^3 +1)). - Colin Barker, Nov 10 2013
MATHEMATICA
Numerator[Convergents[Sqrt[149], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
CROSSREFS
Cf. A041273.
Sequence in context: A222966 A376185 A077612 * A022282 A009959 A009950
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 10 2013
STATUS
approved