0,2

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,1367964,0,0,0,0,0,0,0,0,1).

G.f.: -(x^16 -4*x^15 +5*x^14 -54*x^13 +167*x^12 -555*x^11 +5717*x^10 -6272*x^9 +30805*x^8 +6272*x^7 +5717*x^6 +555*x^5 +167*x^4 +54*x^3 +5*x^2 +4*x +1) / ((x^6 +111*x^3 -1)*(x^12 -111*x^9 +12322*x^6 +111*x^3 +1)). - Colin Barker, Nov 27 2013

Denominator[Convergents[Sqrt[493], 30]] (* Harvey P. Dale, Mar 25 2013 *)

CoefficientList[Series[-(x^16 - 4 x^15 + 5 x^14 - 54 x^13 + 167 x^12 - 555 x^11 + 5717 x^10 - 6272 x^9 + 30805 x^8 + 6272 x^7 + 5717 x^6 + 555 x^5 + 167 x^4 + 54 x^3 + 5 x^2 + 4 x + 1)/((x^6 + 111 x^3 - 1) (x^12 - 111 x^9 + 12322 x^6 + 111 x^3 + 1)), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 27 2013 *)

Cf. A041940, A040470.

Sequence in context: A135799 A226648 A335797 * A220534 A368018 A341575

Adjacent sequences: A041938 A041939 A041940 * A041942 A041943 A041944

nonn,frac,easy

More terms from Colin Barker, Nov 27 2013

approved