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%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_.
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