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Search: id:A113554
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| A113554 |
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Decimal expansion of average of e^1/e and Pi. |
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+0
1
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| 2, 2, 9, 3, 1, 3, 0, 2, 5, 7, 2, 9, 9, 7, 7, 9, 6, 8, 6, 0, 6, 0, 4, 9, 1, 2, 4, 5, 9, 3, 7, 9, 6, 6, 5, 5, 3, 6, 2, 7, 8, 8, 2, 4, 2, 6, 3, 0, 8, 6, 7, 9, 4, 9, 3, 3, 9, 7, 7, 3, 3, 6, 2, 8, 3, 0, 5, 8, 3, 5, 6, 7, 2, 0, 0, 2, 4, 1, 1, 7, 5, 2, 1, 0, 0, 8, 0, 8, 8, 7, 4, 1, 9, 4, 6, 0, 7, 9, 6, 0
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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Close to A085846 which is also close to the product Zeta(2...s) and this is itself close to 2e-Pi. The eth root of e, eRe, is the maximum for any aRa = bRb pair. See A085846. Likewise for a^b = b^a pairs there is a minimum, e^e.
For the Foias constant F satisfying FRF = fRf, F*f is very close to the third zero of the Riemann Zeta function.
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FORMULA
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(e^1/e)+(Pi- e^1/e)/2
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EXAMPLE
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2.293130257299779...
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MATHEMATICA
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First[RealDigits[N[(E^(1/E) + Pi)/2, 100]]] - Ryan Propper (rpropper(AT)stanford.edu), Jul 21 2006
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CROSSREFS
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Sequence in context: A167594 A108462 A011403 this_sequence A085846 A021440 A157216
Adjacent sequences: A113551 A113552 A113553 this_sequence A113555 A113556 A113557
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KEYWORD
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cons,nonn
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AUTHOR
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Marco Matosic (marcomatosic(AT)hotmail.com), Jan 13 2006
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EXTENSIONS
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More terms from Ryan Propper (rpropper(AT)stanford.edu), Jul 21 2006
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