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A042606
Numerators of continued fraction convergents to sqrt(832).
2
28, 29, 173, 375, 923, 1298, 17797, 19095, 55987, 131069, 711332, 842401, 47885788, 48728189, 291526733, 631781655, 1555090043, 2186871698, 29984422117, 32171293815, 94327009747, 220825313309, 1198453576292, 1419278889601, 80678071393948, 82097350283549
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1684802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^23 -28*x^22 +29*x^21 -173*x^20 +375*x^19 -923*x^18 +1298*x^17 -17797*x^16 +19095*x^15 -55987*x^14 +131069*x^13 -711332*x^12 -842401*x^11 -711332*x^10 -131069*x^9 -55987*x^8 -19095*x^7 -17797*x^6 -1298*x^5 -923*x^4 -375*x^3 -173*x^2 -29*x -28) / ((x^2 -3*x -1)*(x^2 +3*x -1)*(x^4 -3*x^3 +10*x^2 +3*x +1)*(x^4 +11*x^2 +1)*(x^4 +3*x^3 +10*x^2 -3*x +1)*(x^8 -11*x^6 +120*x^4 -11*x^2 +1)). - Colin Barker, Dec 19 2013
MATHEMATICA
Numerator[Convergents[Sqrt[832], 30]] (* Vincenzo Librandi, Nov 29 2013 *)
CROSSREFS
Sequence in context: A042596 A042604 A042602 * A042608 A042610 A042612
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 19 2013
STATUS
approved