A119824 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.
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
Offset: 2
Examples
74.9031422582760583026330475914...
Crossrefs
Cf. Upper bound of integral is given by A078335.
Programs
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Mathematica
RealDigits[NIntegrate[Exp[x] - Gamma[x + 1], {x, 0, FindRoot[r - Log[r! ], {r, 5.29}, WorkingPrecision -> 200][[1]][[2]]}, WorkingPrecision -> 40]]
Extensions
More terms from Robert G. Wilson v, Nov 08 2013