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A021097
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Decimal expansion of 1/93.
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2
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0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8
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OFFSET
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0,4
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COMMENTS
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Generalization:
1/3 = Sum_{i >= 0} 7^i/10^(i+1);
1/93 = Sum_{i >= 0} 7^i/100^(i+1) (this sequence);
1/993 = Sum_{i >= 0} 7^i/1000^(i+1);
1/9993 = Sum_{i >= 0} 7^i/10000^(i+1), etc. - Daniel Forgues, Oct 28 2011
In other words, given n > 1, the decimal expansion of 1/(10^n - 3) contains the first n powers of 7 (including 7^0 = 1) separated by n - 1 zeroes. - Alonso del Arte, Aug 10 2017
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).
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EXAMPLE
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0.010752688172043010752688172...
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MATHEMATICA
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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