A021095 - OEIS

%I #10 May 03 2024 14:09:58

%S 0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,

%T 8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,

%U 0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0,9,8,9,0,1,0

%N Decimal expansion of 1/91.

%C  Generalization:

%C   1/1 = sum (9^i/10^(i+1)), i >= 0,

%C   1/91 = sum (9^i/100^(i+1)), i >= 0, (this sequence)

%C   1/991 = sum (9^i/1000^(i+1)), i >= 0,

%C 1/9991 = sum (9^i/1000^(i+1)), i >= 0, ... - _Daniel Forgues_, Oct 28 2011

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, -1, 1).

%K nonn,cons

%O 0,4

%A _N. J. A. Sloane_.