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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. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A009456 A009465 A199161 * 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

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Last modified October 20 01:34 EDT 2018. Contains 316378 sequences. (Running on oeis4.)