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A119824
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Decimal expansion of area bounded by x->Exp[x] and x->Gamma[x+1] on 0 <= x <= c, where c is the value given by A078335.
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0
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7, 4, 9, 0, 3, 1, 4, 2, 2, 5, 8, 2, 7, 6, 0, 5, 8, 3, 0, 2, 6, 3, 3, 0, 4, 7, 5, 9, 1, 3, 6, 8, 9, 8, 4, 6, 5, 3, 7, 1, 1, 3, 1, 0, 2, 1, 3, 1, 1, 6, 0, 1, 0, 6, 1, 0, 9, 1, 6, 4, 9, 3, 4, 3, 6, 1, 3, 3, 0, 2, 6, 8, 4, 1, 6, 2, 3, 8, 1, 2, 3, 2, 7, 8, 0, 3, 1, 6, 6, 0, 4, 4, 6, 9, 8, 6, 5, 9, 2, 5, 0, 8, 4, 7, 3, 4
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OFFSET
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2,1
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LINKS
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EXAMPLE
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74.9031422582760583026330475914...
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MATHEMATICA
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RealDigits[NIntegrate[Exp[x] - Gamma[x + 1], {x, 0, FindRoot[r - Log[r! ], {r, 5.29}, WorkingPrecision -> 200][[1]][[2]]}, WorkingPrecision -> 40]]
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CROSSREFS
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Cf. Upper bound of integral is given by A078335.
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KEYWORD
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Jul 30 2006
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EXTENSIONS
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STATUS
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approved
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