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Search: id:A071874
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| A071874 |
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Decimal expansion of the seventh (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 seventh selvage number is equal to the complement of the fourth selvage number: s_7 = 1 - s_4. |
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+0
1
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| 6, 2, 8, 5, 1, 7, 3, 0, 6, 2, 9, 5, 1, 7, 4, 0, 6, 3, 9, 5, 1, 8, 4, 0, 7, 3, 9, 5, 2, 8, 4, 1, 7, 3, 9, 6, 2, 8, 5, 1, 7, 3, 0, 6, 2, 9, 5, 1, 7, 4, 0, 6, 3, 9, 5, 1, 8, 4, 0, 7, 3, 9, 5, 2, 8, 4, 1, 7, 3, 9, 6, 2, 8, 5, 1, 7, 3, 0, 6, 2, 9, 5, 1, 7, 4, 0, 6, 3, 9, 5, 1, 8, 4, 0, 7, 3, 9, 5, 2, 8
(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 - A071790(n).
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EXAMPLE
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a(7) = 3 since floor(10*(7*x)) (Mod 10) = 3, x=0.62851730629517406395184073952841739628517306295174...
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CROSSREFS
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Cf. A071789, A071790, A071791, A071792, A071793.
Sequence in context: A098686 A079718 A062771 this_sequence A011331 A021618 A085589
Adjacent sequences: A071871 A071872 A071873 this_sequence A071875 A071876 A071877
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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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