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A041459 Denominators of continued fraction convergents to sqrt(245). 2
1, 1, 2, 3, 23, 141, 1010, 1151, 2161, 3312, 101521, 104833, 206354, 311187, 2384663, 14619165, 104718818, 119337983, 224056801, 343394784, 10525900321, 10869295105, 21395195426, 32264490531, 247246629143, 1515744265389, 10857456486866, 12373200752255 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,103682,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^18 -x^17 +2*x^16 -3*x^15 +23*x^14 -141*x^13 +1010*x^12 -1151*x^11 +2161*x^10 -3312*x^9 -2161*x^8 -1151*x^7 -1010*x^6 -141*x^5 -23*x^4 -3*x^3 -2*x^2 -x -1) / ((x^10 -322*x^5 +1)*(x^10 +322*x^5 +1)). - Colin Barker, Nov 18 2013
a(n) = 103682*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 18 2013
MATHEMATICA
Denominator[Convergents[Sqrt[245], 30]] (* Vincenzo Librandi, Dec 18 2013 *)
PROG
(Magma) I:=[1, 1, 2, 3, 23, 141, 1010, 1151, 2161, 3312, 101521, 104833, 206354, 311187, 2384663, 14619165, 104718818, 119337983, 224056801, 343394784]; [n le 20 select I[n] else 103682*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 18 2013
CROSSREFS
Sequence in context: A370279 A009180 A359840 * A126702 A260126 A260125
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved

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Last modified July 22 06:32 EDT 2024. Contains 374481 sequences. (Running on oeis4.)