%I #11 Apr 22 2024 14:59:40
%S 0,0,1,4,1,6,4,3,0,5,9,4,9,0,0,8,4,9,8,5,8,3,5,6,9,4,0,5,0,9,9,1,5,0,
%T 1,4,1,6,4,3,0,5,9,4,9,0,0,8,4,9,8,5,8,3,5,6,9,4,0,5,0,9,9,1,5,0,1,4,
%U 1,6,4,3,0,5,9,4,9,0,0,8,4,9,8,5,8,3,5,6,9,4,0,5,0,9,9,1,5,0,1
%N Decimal expansion of 1/706.
%H <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1).
%F From _Chai Wah Wu_, Apr 22 2024: (Start)
%F a(n) = a(n-1) - a(n-16) + a(n-17) for n > 17.
%F G.f.: x^2*(-5*x^15 + 4*x^14 - 8*x^13 + 9*x^11 - 5*x^10 + 5*x^9 - 4*x^8 - 5*x^7 + 3*x^6 + x^5 + 2*x^4 - 5*x^3 + 3*x^2 - 3*x - 1)/((x - 1)*(x^16 + 1)). (End)
%t Join[{0,0},RealDigits[1/706,10,120][[1]]] (* or *) PadRight[{0},120,{5,0,1,4,1,6,4,3,0,5,9,4,9,0,0,8,4,9,8,5,8,3,5,6,9,4,0,5,0,9,9,1}] (* _Harvey P. Dale_, Dec 07 2019 *)
%K nonn,cons,easy
%O 0,4
%A _N. J. A. Sloane_