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%I #11 Aug 09 2022 11:01:49
%S 0,0,1,2,4,0,6,9,4,7,8,9,0,8,1,8,8,5,8,5,6,0,7,9,4,0,4,4,6,6,5,0,1,2,
%T 4,0,6,9,4,7,8,9,0,8,1,8,8,5,8,5,6,0,7,9,4,0,4,4,6,6,5,0,1,2,4,0,6,9,
%U 4,7,8,9,0,8,1,8,8,5,8,5,6,0,7,9,4,0,4,4,6,6,5,0,1,2,4,0,6,9,4
%N Decimal expansion of 1/806.
%H <a href="/index/Rec#order_29">Index entries for linear recurrences with constant coefficients</a>, signature (1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1).
%F From _Chai Wah Wu_, Aug 08 2022: (Start)
%F a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6) + a(n-7) - a(n-8) + a(n-9) - a(n-10) + a(n-11) - a(n-12) + a(n-13) - a(n-14) + a(n-15) - a(n-16) + a(n-17) - a(n-18) + a(n-19) - a(n-20) + a(n-21) - a(n-22) + a(n-23) - a(n-24) + a(n-25) - a(n-26) + a(n-27) - a(n-28) + a(n-29) for n > 29.
%F G.f.: x^2*(-5*x^27 - x^26 - 5*x^25 + x^24 - 5*x^23 + 5*x^22 - 9*x^21 - 7*x^19 + 7*x^18 - 13*x^17 + 8*x^16 - 16*x^15 + 11*x^14 - 19*x^13 + 11*x^12 - 12*x^11 + 4*x^10 - 4*x^9 - 5*x^8 - 3*x^7 - 4*x^6 - 9*x^4 + 3*x^3 - 3*x^2 - x - 1)/((x - 1)*(x^2 - x + 1)*(x^2 + x + 1)*(x^4 - x^3 + x^2 - x + 1)*(x^4 + x^3 + x^2 + x + 1)*(x^8 - x^7 + x^5 - x^4 + x^3 - x + 1)*(x^8 + x^7 - x^5 - x^4 - x^3 + x + 1)). (End)
%t Join[{0,0},RealDigits[1/806,10,120][[1]]] (* or *) PadRight[{0,0},120,{5,0,1,2,4,0,6,9,4,7,8,9,0,8,1,8,8,5,8,5,6,0,7,9,4,0,4,4,6,6}] (* _Harvey P. Dale_, Dec 22 2013 *)
%K nonn,cons,easy
%O 0,4
%A _N. J. A. Sloane_.
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