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A042229
Denominators of continued fraction convergents to sqrt(640).
2
1, 3, 7, 10, 47, 57, 674, 731, 3598, 4329, 12256, 41097, 2067106, 6242415, 14551936, 20794351, 97729340, 118523691, 1401489941, 1520013632, 7481544469, 9001558101, 25484660671, 85455540114, 4298261666371, 12980240539227, 30258742744825, 43238983284052
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,2079362,0,0,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^22 - 3*x^21 + 7*x^20 - 10*x^19 + 47*x^18 - 57*x^17 + 674*x^16 - 731*x^15 + 3598*x^14 - 4329*x^13 + 12256*x^12 - 41097*x^11 - 12256*x^10 - 4329*x^9 - 3598*x^8 - 731*x^7 - 674*x^6 - 57*x^5 - 47*x^4 - 10*x^3 - 7*x^2 - 3*x - 1) / ((x^6 - 38*x^3 + 1)*(x^6 + 38*x^3 + 1)*(x^12 + 1442*x^6 + 1)). - Colin Barker, Dec 04 2013
MATHEMATICA
Denominator[Convergents[Sqrt[640], 30]] (* Vincenzo Librandi, Jan 17 2014 *)
CROSSREFS
Sequence in context: A041783 A041899 A101397 * A042373 A265686 A042775
KEYWORD
nonn,frac,easy
EXTENSIONS
More terms from Colin Barker, Dec 04 2013
STATUS
approved