A021817 - OEIS

%I #24 Dec 12 2024 23:00:40

%S 0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,

%T 3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,

%U 2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3,0,0,1,2,3

%N Decimal expansion of 1/813.

%C Period 5: repeat [0, 0, 1, 2, 3]. - _Nicolas Bělohoubek_, Dec 02 2024

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1).

%F From _Nicolas Bělohoubek_, Dec 02 2024: (Start)

%F a(n) = ((n-1) mod 5) mod 4.

%F a(n) = (a(n-1)-1/2)*(a(n-2)-2)*(a(n-3)-2) for n > 2.

%F a(n) = 6 - Sum_{k=1..4} a(n-k) for n > 3.

%F a(n) = a(n-5) for n > 4. (End)

%F Equals A021275/3. - _Hugo Pfoertner_, Dec 10 2024

%e 0.001230012300123001230012300123... .

%Y Cf. A021275.

%K nonn,cons

%O 0,4

%A _N. J. A. Sloane_