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Decimal expansion of 1/989.
0

%I #13 Nov 03 2016 06:14:57

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

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

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

%N Decimal expansion of 1/989.

%C Contribution from _Mark Dols_, May 24 2010: (Start)

%C Infinite sum of 1/990^n with n>0. Decimal representation of sequence A000931(excluding first 3 terms):

%C 0.001

%C 0.0000

%C 0.00001

%C 0.000001

%C 0.0000001

%C 0.00000002

%C 0.000000002

%C 0.0000000003

%C 0.00000000004

%C 0.000000000005

%C ...............

%C --------------- +

%C 0.001011122345..

%C Fraction 1/1099 for sequence in reverse. (End)

%C Generalization:

%C 1/89 = sum (11^i/100^(i+1)), i >= 0,

%C 1/989 = sum (11^i/1000^(i+1)), i >= 0, (this sequence)

%C 1/9989 = sum (11^i/10000^(i+1)), i >= 0, ... - _Daniel Forgues_, Oct 28 2011

%Y Cf. A000931.

%K nonn,cons

%O 0,8

%A _N. J. A. Sloane_.