A359285 Decimal expansion of Integral_{x = 0..1} x^(x^3) dx.
9, 4, 0, 3, 1, 8, 0, 8, 6, 6, 8, 1, 9, 0, 6, 9, 8, 2, 8, 9, 7, 3, 6, 5, 6, 4, 1, 7, 4, 2, 9, 7, 6, 7, 2, 5, 8, 1, 1, 7, 5, 1, 1, 0, 1, 4, 9, 3, 0, 6, 7, 3, 5, 2, 9, 2, 6, 6, 6, 5, 1, 0, 1, 8, 3, 8, 0, 3, 5, 8, 9, 2, 2, 7, 3, 1, 2, 4, 6, 1, 7, 1, 5, 4, 6, 4, 0, 0, 8, 3, 6, 6, 6, 6, 7, 3, 3, 7, 7, 1, 2, 8, 1, 9, 3, 0, 7, 2, 6, 7
Offset: 0
Examples
0.94031808668190698289736564174297672581175110149306...
Links
- Wikipedia, Sophomore's Dream
Programs
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Maple
evalf(int(x^(x^3), x = 0..1), 110);
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Mathematica
NIntegrate[x^(x^3), {x, 0, 1}, WorkingPrecision -> 110] // RealDigits // First -
PARI
intnum(x = 0, 1, x^(x^3))
Formula
Equals Sum_{n >= 1} (-1)^(n+1)/(3*n - 2)^n.