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Search: id:A120704
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| A120704 |
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Decimal expansion of limiting ratio of Sum[Cos[Pi/2^k],{k,0,n}]/n. |
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+0
2
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| 9, 9, 2, 0, 1, 7, 8, 3, 3, 9, 9, 2, 9, 1, 6, 1, 1, 4, 8, 0, 2, 5, 9, 6, 6, 5, 6, 1, 9, 0, 9, 5, 9, 7, 5, 6, 3, 5, 3, 6, 2, 8, 1, 7, 6, 0, 2, 4, 7, 9, 5, 8, 9, 8, 6, 2, 5, 6, 3, 8, 9, 6, 8, 7, 1, 8, 0, 5, 5, 5, 5, 3, 9, 4, 7, 0, 4, 7, 0, 3
(list; cons; graph; listen)
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OFFSET
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0,1
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FORMULA
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Limit[Sum[Cos[Pi/2^k],{k,0,n}]/n, n -> Infinity]
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EXAMPLE
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0.992017833992916114802596656190959756353628176024795898625638968718055553947...
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MATHEMATICA
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N[Sum[Cos[Pi/2^k], {k, 0, n}]/n /. n -> 300, 80] RealDigits[%, 10]
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CROSSREFS
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Decimal expansion of corresponding limiting difference given by A120703.
Sequence in context: A144667 A118428 A166925 this_sequence A021506 A133250 A019892
Adjacent sequences: A120701 A120702 A120703 this_sequence A120705 A120706 A120707
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KEYWORD
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cons,nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Jun 28 2006
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