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%I #10 Apr 19 2024 01:59:04
%S 0,0,3,2,3,6,2,4,5,9,5,4,6,9,2,5,5,6,6,3,4,3,0,4,2,0,7,1,1,9,7,4,1,1,
%T 0,0,3,2,3,6,2,4,5,9,5,4,6,9,2,5,5,6,6,3,4,3,0,4,2,0,7,1,1,9,7,4,1,1,
%U 0,0,3,2,3,6,2,4,5,9,5,4,6,9,2,5,5,6,6,3,4,3,0,4,2,0,7,1,1,9,7
%N Decimal expansion of 1/309.
%H <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).
%F From _Chai Wah Wu_, Apr 18 2024: (Start)
%F a(n) = a(n-34) for n > 33.
%F G.f.: x^2*(-x^31 - x^30 - 4*x^29 - 7*x^28 - 9*x^27 - x^26 - x^25 - 7*x^24 - 2*x^22 - 4*x^21 - 3*x^19 - 4*x^18 - 3*x^17 - 6*x^16 - 6*x^15 - 5*x^14 - 5*x^13 - 2*x^12 - 9*x^11 - 6*x^10 - 4*x^9 - 5*x^8 - 9*x^7 - 5*x^6 - 4*x^5 - 2*x^4 - 6*x^3 - 3*x^2 - 2*x - 3)/(x^34 - 1). (End)
%e 0.00323624595469255...
%t Join[{0,0},RealDigits[1/309,10,120][[1]]] (* or *) PadRight[{},120,{0,0,3,2,3,6,2,4,5,9,5,4,6,9,2,5,5,6,6,3,4,3,0,4,2,0,7,1,1,9,7,4,1,1}] (* _Harvey P. Dale_, Mar 03 2018 *)
%K nonn,cons
%O 0,3
%A _N. J. A. Sloane_.