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A013705
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Decimal expansion of 4*Sum_{k=1..500000} (-1)^(k-1)/(2k-1).
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12
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3, 1, 4, 1, 5, 9, 0, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 4, 0, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 6, 9, 5, 0, 2, 8, 8, 4, 1, 9, 7, 2, 9, 1, 3, 9, 9, 3, 7, 5, 1, 0, 3, 0, 5, 0, 9, 7, 4, 9, 4, 4, 6, 9, 3, 3, 4, 9, 8, 1, 6, 4, 0, 0, 8, 8, 0, 6, 7, 8, 9, 9, 9, 0, 2, 6, 7, 5, 6, 7, 8, 7, 3, 0, 3, 3, 3, 4, 0, 4, 3, 6, 9, 6, 9, 5
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OFFSET
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1,1
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COMMENTS
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An approximation to Pi.
A case of "high precision fraud": curiously, among the first 40 digits, only 4 are wrong (in positions 7, 18, 19 and 30). - Jean-François Alcover, Apr 23 2013
This result arises because the sum is Pi - 2*10^-6 + 2*10^-18 - 10^-29 + 122*10^-42 - ... - Jon E. Schoenfield, Mar 11 2018
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LINKS
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EXAMPLE
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3.1415906535897932404626433832695028841972913993751030509749446933498...
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PROG
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(PARI) 4*sum(k=1, 500000, (-1.)^(k-1)/(2*k-1)) \\ Michel Marcus, Mar 11 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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