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Search: id:A071877
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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 tenths 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
1
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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; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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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
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MathWorld, Equidistributed Sequence
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FORMULA
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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
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a(7) = 1 since floor(10*(7*x)) (Mod 10) = 1, x=0.87653210876532109765421097654210986543109865431098...
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CROSSREFS
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Cf. A071789, A071790, A071791, A071792, A071793.
Sequence in context: A154718 A021537 A021846 this_sequence A138472 A022964 A023450
Adjacent sequences: A071874 A071875 A071876 this_sequence A071878 A071879 A071880
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KEYWORD
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cons,easy,nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 10 2002
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