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A042333
Denominators of continued fraction convergents to sqrt(693).
2
1, 3, 37, 40, 197, 237, 3041, 9360, 489761, 1478643, 18233477, 19712120, 97081957, 116794077, 1498610881, 4612626720, 241355200321, 728678227683, 8985493932517, 9714172160200, 47842182573317, 57556354733517, 738518439375521, 2273111672860080
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,492802,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^14 -3*x^13 +37*x^12 -40*x^11 +197*x^10 -237*x^9 +3041*x^8 -9360*x^7 -3041*x^6 -237*x^5 -197*x^4 -40*x^3 -37*x^2 -3*x -1) / ((x^8 -702*x^4 +1)*(x^8 +702*x^4 +1)). - Colin Barker, Dec 08 2013
MATHEMATICA
Denominator[Convergents[Sqrt[693], 30]] (* Vincenzo Librandi, Jan 20 2014 *)
CROSSREFS
Sequence in context: A176240 A116184 A037000 * A106103 A224471 A286637
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 08 2013
STATUS
approved