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A119858
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Decimal expansion of area bounded by x->x and x->Log[x! ] on 0 <= x <= c, where c is the value given by A078335.
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0
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4, 6, 6, 2, 0, 1, 6, 7, 0, 3, 1, 8, 2, 1, 1, 1, 3, 4, 0, 9, 1, 1, 0, 7, 0, 3, 6, 4, 1, 2, 4, 0, 8, 6, 8, 5, 1, 3, 5, 5, 9, 8, 1, 8, 6, 2, 0, 1, 7, 7, 8, 3, 7, 0, 2, 9, 1, 1, 4, 2, 1, 3, 0, 6, 2, 8, 9, 4, 6, 2, 2, 5, 7, 1, 1, 2, 1, 4, 7, 1, 2, 0, 6, 0, 4, 1, 2, 0, 7, 5, 5, 0, 5, 5, 7, 1, 9, 4, 7, 2, 9, 9, 0, 8, 2
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OFFSET
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1,1
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LINKS
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EXAMPLE
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4.66201670318211134091107036412...
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MATHEMATICA
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RealDigits[NIntegrate[x - Log[x! ], {x, 0, FindRoot[r - Log[r! ], {r, 5.29}, WorkingPrecision -> 200][[1]][[2]]}, WorkingPrecision -> 40]]
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PROG
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(PARI) intnum(x=0, solve(x=5.2, 5.3, exp(x)-gamma(1+x)) , x - log(gamma(x+1))) \\ Michel Marcus, Apr 05 2015
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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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