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A071877
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Decimal expansion of the tenth (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 tenth selvage number is equal to the complement of the first selvage number: s_10 = 1 - s_1.
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0
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8, 7, 6, 5, 3, 2, 1, 0, 8, 7, 6, 5, 3, 2, 1, 0, 9, 7, 6, 5, 4, 2, 1, 0, 9, 7, 6, 5, 4, 2, 1, 0, 9, 8, 6, 5, 4, 3, 1, 0, 9, 8, 6, 5, 4, 3, 1, 0, 9, 8, 7, 5, 4, 3, 2, 0, 9, 8, 7, 5, 4, 3, 2, 0, 9, 8, 7, 6, 4, 3, 2, 1, 9, 8, 7, 6, 4, 3, 2, 1, 9, 8, 7, 6, 5, 3, 2, 1, 0, 8, 7, 6, 5, 3, 2, 1, 0, 9, 7, 6
(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 - A071789(n).
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EXAMPLE
| a(7) = 1 since floor(10*(7*x)) (Mod 10) = 1, x=0.87653210876532109765421097654210986543109865431098...
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CROSSREFS
| Cf. A071789, A071790, A071791, A071792, A071793.
Sequence in context: A200598 A021846 A201579 * A138472 A022964 A023450
Adjacent sequences: A071874 A071875 A071876 * A071878 A071879 A071880
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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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