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Search: id:A104141
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| A104141 |
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Decimal expansion of 3/(pi)^2. |
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+0
1
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| 3, 0, 3, 9, 6, 3, 5, 5, 0, 9, 2, 7, 0, 1, 3, 3, 1, 4, 3, 3, 1, 6, 3, 8, 3, 8, 9, 6, 2, 9, 1, 8, 2, 9, 1, 6, 7, 1, 3, 0, 7, 6, 3, 2, 4, 0, 1, 6, 7, 3, 9, 6, 4, 6, 5, 3, 6, 8, 2, 7, 0, 9, 5, 6, 8, 2, 5, 1, 9, 3, 6, 2, 8, 8, 6, 7, 0, 6, 3, 2, 3, 5, 7, 3, 6, 2, 7, 8, 2, 1, 7, 7, 6, 8, 6, 5, 5, 1, 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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3/(pi)^2 is the limit of [sum_{k=1,...,n} phi(k)]/n^2, {phi(k) being the Euler's totient A000010(k)},i.e., of A002088(n)/A000290(n) as n tends to infinity.
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REFERENCES
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L. E. Dickson, History of the Theory of Numbers, Vol. I pp. 126 Chelsea NY 1966.
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EXAMPLE
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3/(pi)^2=0.303963550927013314331638389629...
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MATHEMATICA
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l = RealDigits[N[3/Pi^2, 100]]; Prepend[First[l], Last[l]] (Propper)
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CROSSREFS
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Sequence in context: A132330 A117078 A021333 this_sequence A060533 A157525 A157521
Adjacent sequences: A104138 A104139 A104140 this_sequence A104142 A104143 A104144
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KEYWORD
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nonn,cons
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Mar 07 2005
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EXTENSIONS
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More terms from Ryan Propper (rpropper(AT)stanford.edu), Aug 04 2005
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