%I #13 Apr 22 2024 14:29:21
%S 0,0,1,4,0,4,4,9,4,3,8,2,0,2,2,4,7,1,9,1,0,1,1,2,3,5,9,5,5,0,5,6,1,7,
%T 9,7,7,5,2,8,0,8,9,8,8,7,6,4,0,4,4,9,4,3,8,2,0,2,2,4,7,1,9,1,0,1,1,2,
%U 3,5,9,5,5,0,5,6,1,7,9,7,7,5,2,8,0,8,9,8,8,7,6,4,0,4,4,9,4,3,8
%N Decimal expansion of 1/712.
%H <a href="/index/Rec#order_23">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1).
%F From _Chai Wah Wu_, Apr 22 2024: (Start)
%F a(n) = a(n-1) - a(n-22) + a(n-23) for n > 25.
%F G.f.: x^2*(-5*x^23 - 2*x^22 - x^21 - x^19 + x^18 + 8*x^17 - 8*x^16 + 6*x^15 - 3*x^14 - 2*x^13 - 2*x^11 + 2*x^10 + 6*x^9 - 5*x^8 + x^7 + 5*x^6 - 5*x^5 - 4*x^3 + 4*x^2 - 3*x - 1)/(x^23 - x^22 + x - 1). (End)
%o (PARI) 1/712. \\ _Charles R Greathouse IV_, Dec 05 2011
%Y Cf. A021093.
%K nonn,cons,easy
%O 0,4
%A _N. J. A. Sloane_