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%I #10 Dec 28 2022 09:02:12
%S 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,
%T 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,
%U 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
%N Decimal expansion of Integral_{x = 0..1} x^(x^3) dx.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Sophomore%27s_dream">Sophomore's Dream</a>
%F Equals Sum_{n >= 1} (-1)^(n+1)/(3*n - 2)^n.
%e 0.94031808668190698289736564174297672581175110149306...
%p evalf(int(x^(x^3), x = 0..1), 110);
%t NIntegrate[x^(x^3), {x, 0, 1}, WorkingPrecision -> 110] // RealDigits // First
%o (PARI) intnum(x = 0, 1, x^(x^3))
%Y Cf. A245637, A253299, A359282, A359283, A359284, A359286.
%K nonn,cons,easy
%O 0,1
%A _Peter Bala_, Dec 24 2022
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