A119858 Decimal expansion of area bounded by x->x and x->Log[x! ] on 0 <= x <= c, where c is the value given by A078335.

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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Example

4.66201670318211134091107036412...

Mathematica

RealDigits[NIntegrate[x - Log[x! ], {x, 0, FindRoot[r - Log[r! ], {r, 5.29}, WorkingPrecision -> 200][[1]][[2]]}, WorkingPrecision -> 40]]

Prog

(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

Crossrefs

Cf. Upper bound of integral is given by A078335.

Sequence in context: A199161 A329217 A352592 * A130753 A021686 A019923

Adjacent sequences: A119855 A119856 A119857 * A119859 A119860 A119861

Keyword

cons,nonn

Author

Joseph Biberstine (jrbibers(AT)indiana.edu), Jul 30 2006

Extensions

More terms from Robert G. Wilson v, Jan 07 2016

Status

approved