A359284 Decimal expansion of Integral_{x = 0..1} 1/x^(x^3) dx.

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

Offset

1,3

Links

Table of n, a(n) for n=1..108.

Wikipedia, Sophomore's Dream

Formula

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

More generally, Integral_{x = 0..1} 1/x^(t*x^3) dx = Sum_{n >= 1} t^(n-1)/(3*n - 2)^n. See A359285 (case t = -1).

Example

1.06551820592764917586382140548454723153980227909982...

Maple

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

Mathematica

NIntegrate[1/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, A359285, A359286.

Sequence in context: A199375 A244808 A351055 * A157295 A011485 A084339

Adjacent sequences: A359281 A359282 A359283 * A359285 A359286 A359287

Keyword

nonn,cons,easy

Author

Peter Bala, Dec 24 2022

Status

approved