A041272 - OEIS

A041272

Numerators of continued fraction convergents to sqrt(149).

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

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OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,227164,0,0,0,0,0,0,0,0,1).

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

Adjacent sequences: A041269 A041270 A041271 * A041273 A041274 A041275

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved