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Decimal expansion of 1/515.
0

%I #15 Jan 29 2021 02:34:04

%S 0,0,1,9,4,1,7,4,7,5,7,2,8,1,5,5,3,3,9,8,0,5,8,2,5,2,4,2,7,1,8,4,4,6,

%T 6,0,1,9,4,1,7,4,7,5,7,2,8,1,5,5,3,3,9,8,0,5,8,2,5,2,4,2,7,1,8,4,4,6,

%U 6,0,1,9,4,1,7,4,7,5,7,2,8,1,5,5,3,3,9,8,0,5,8,2,5,2,4,2,7,1,8

%N Decimal expansion of 1/515.

%H <a href="/index/Rec#order_18">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,-1,1).

%F From _Chai Wah Wu_, Jan 28 2021: (Start)

%F a(n) = a(n-1) - a(n-17) + a(n-18) for n > 18.

%F G.f.: x^2*(-6*x^16 + 2*x^14 - 4*x^12 + 7*x^11 - 6*x^10 + 5*x^9 - 2*x^8 + 2*x^7 - 3*x^6 + 3*x^5 - 6*x^4 + 3*x^3 + 5*x^2 - 8*x - 1)/(x^18 - x^17 + x - 1). (End)

%p Digits := 100; evalf(1/515); # _Wesley Ivan Hurt_, Feb 03 2014

%t RealDigits[1/515, 10, 100, -1] (* _Wesley Ivan Hurt_, Feb 03 2014 *)

%t LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1}, {0, 0, 1, 9, 4, 1, 7, 4, 7, 5, 7, 2, 8, 1, 5, 5, 3, 3, 9}, 99] (* _Robert P. P. McKone_, Jan 28 2021 *)

%K nonn,cons

%O 0,4

%A _N. J. A. Sloane_