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A041454
Numerators of continued fraction convergents to sqrt(243).
2
15, 16, 31, 78, 265, 4053, 12424, 28901, 41325, 70226, 2148105, 2218331, 4366436, 10951203, 37220045, 569251878, 1744975679, 4059203236, 5804178915, 9863382151, 301705643445, 311569025596, 613274669041, 1538118363678, 5227629760075, 79952564764803
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,140452,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -15*x^18 +16*x^17 -31*x^16 +78*x^15 -265*x^14 +4053*x^13 -12424*x^12 +28901*x^11 -41325*x^10 -70226*x^9 -41325*x^8 -28901*x^7 -12424*x^6 -4053*x^5 -265*x^4 -78*x^3 -31*x^2 -16*x -15) / (x^20 -140452*x^10 +1). - Colin Barker, Nov 10 2013
MATHEMATICA
Numerator[Convergents[Sqrt[243], 30]] (* Vincenzo Librandi, Nov 02 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 140452, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {15, 16, 31, 78, 265, 4053, 12424, 28901, 41325, 70226, 2148105, 2218331, 4366436, 10951203, 37220045, 569251878, 1744975679, 4059203236, 5804178915, 9863382151}, 40] (* Harvey P. Dale, Aug 10 2021 *)
CROSSREFS
Cf. A041455.
Sequence in context: A022105 A041456 A041458 * A041452 A041450 A042867
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 10 2013
STATUS
approved