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A071875
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Decimal expansion of the eighth (of 10) decimal selvage number; the n-th digit of a decimal selvage number, x, is equal to the tens digit of n*x. The eighth selvage number is equal to the complement of the third selvage number: s_8 = 1 - s_3.
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0
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7, 4, 2, 9, 7, 4, 2, 9, 6, 4, 1, 9, 6, 4, 1, 8, 6, 3, 1, 8, 6, 3, 0, 8, 5, 3, 0, 8, 5, 2, 0, 7, 5, 2, 0, 7, 4, 2, 9, 7, 4, 2, 9, 6, 4, 1, 9, 6, 4, 1, 8, 6, 3, 1, 8, 6, 3, 0, 8, 5, 3, 0, 8, 5, 2, 0, 7, 5, 2, 0, 7, 4, 2, 9, 7, 4, 2, 9, 6, 4, 1, 9, 6, 4, 1, 8, 6, 3, 1, 8, 6, 3, 0, 8, 5, 3, 0, 8, 5, 2
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The selvage number, x = sum{k=1..inf} a(k)/10^k, is a normal number, but it is not known whether or not x is irrational. Is this sequence periodic?
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LINKS
| MathWorld, Equidistributed Sequence
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FORMULA
| a(n) = floor[10*(n*x)] (Mod 10), where x = sum{k=1..inf} a(k)/10^k. a(n) = 9 - A071791(n).
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EXAMPLE
| a(7) = 2 since floor(10*(7*x)) (Mod 10) = 2, x=0.74297429641964186318630853085207520742974296419641...
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CROSSREFS
| Cf. A071789, A071790, A071791, A071792, A071793.
Sequence in context: A165244 A198356 A019608 * A200687 A200121 A198348
Adjacent sequences: A071872 A071873 A071874 * A071876 A071877 A071878
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jun 10 2002
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