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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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1
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| Limit[Sum[Cos[Pi/2^k],{k,0,n}]/n, n -> Infinity]
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EXAMPLE
| 0.992017833992916114802596656190959756353628176024795898625638968718055553947...
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MATHEMATICA
| N[Sum[Cos[Pi/2^k], {k, 0, n}]/n /. n -> 300, 80] RealDigits[%, 10]
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CROSSREFS
| Decimal expansion of corresponding limiting difference given by A120703.
Sequence in context: A166925 A178164 A171487 * A021506 A133250 A199623
Adjacent sequences: A120701 A120702 A120703 * A120705 A120706 A120707
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KEYWORD
| cons,nonn
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AUTHOR
| Joseph Biberstine (jrbibers(AT)indiana.edu), Jun 28 2006
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