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

0,1

Links

Table of n, a(n) for n=0..109.

Wikipedia, Sophomore's Dream

Formula

Equals Sum_{n >= 1} (-1)^(n+1)/(3*n - 2)^n.

Example

0.94031808668190698289736564174297672581175110149306...

Maple

evalf(int(x^(x^3), x = 0..1), 110);

Mathematica

NIntegrate[x^(x^3), {x, 0, 1}, WorkingPrecision -> 110] // RealDigits // First

Prog

(PARI) intnum(x = 0, 1, x^(x^3))

Crossrefs

Cf. A245637, A253299, A359282, A359283, A359284, A359286.

Sequence in context: A242069 A197828 A116393 * A355283 A198111 A194562

Adjacent sequences: A359282 A359283 A359284 * A359286 A359287 A359288

Keyword

nonn,cons,easy

Author

Peter Bala, Dec 24 2022

Status

approved