A229191 - OEIS

A229191

Decimal expansion of the integral_{x=0..Infinity} 1/x^x dx.

1, 9, 9, 5, 4, 5, 5, 9, 5, 7, 5, 0, 0, 1, 3, 8, 0, 0, 0, 4, 1, 8, 7, 2, 4, 6, 9, 8, 4, 5, 2, 7, 2, 4, 3, 5, 2, 0, 8, 6, 2, 1, 6, 6, 3, 6, 9, 6, 7, 9, 7, 8, 8, 7, 2, 7, 8, 8, 3, 0, 0, 0, 6, 0, 9, 8, 3, 0, 3, 1, 6, 1, 7, 1, 4, 6, 5, 6, 6, 3, 6, 3, 0, 6, 6, 9, 5, 4, 9, 2, 7, 7, 8, 9, 4, 6, 3, 8, 7, 7, 0, 5, 8, 1, 6, 7, 6, 3, 7, 7, 0

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OFFSET

1,2

COMMENTS

"The function x^x grows even more quickly than Gamma(x) and the integral {0-inf} 1/x^x dx = 1.9954559575... and the integral {1-inf} 1/x^x dx = 0.7041699604... ." [Finch]

REFERENCES

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, p. 263.

LINKS

Table of n, a(n) for n=1..111.

EXAMPLE

1.9954559575001380004187246984527243520862166369679788727883...

MAPLE

evalf(int(1/x^x, x=0..infinity), 120); # Alois P. Heinz, Dec 30 2021

MATHEMATICA

RealDigits[ NIntegrate[ 1/x^x, {x, 0, 100}, MaxRecursion -> 5000, MaxPoints -> 5000, AccuracyGoal-> 111, PrecisionGoal -> 111, WorkingPrecision -> 120], 10, 111][[1]]

CROSSREFS

Cf. A058655, A073009, A245637.

Sequence in context: A117232 A155995 A347151 * A376642 A347166 A347081

Adjacent sequences: A229188 A229189 A229190 * A229192 A229193 A229194

KEYWORD

nonn,cons

AUTHOR

Robert G. Wilson v, Sep 15 2013

STATUS

approved