A253299 Decimal expansion of integral_{x=0..1} x^(x^2) dx.

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

Offset

0,1

References

Paul J. Nahin, Inside Interesting Integrals, Springer 2014, ISBN 978-1493912766.

Links

Table of n, a(n) for n=0..102.

Paul J. Nahin, Inside interesting integrals, Undergrad. Lecture Notes in Physics, Springer (2020), (6.1.5)

Formula

Equals sum_{n >= 0} (-1)^n/(2n + 1)^(n + 1).

Example

0.896488781929623341300238520792550365918625...

Mathematica

NIntegrate[x^(x^2), {x, 0, 1}, WorkingPrecision -> 103] // RealDigits // First

Prog

(PARI) intnum(x=0, 1, x^(x^2)) \\ Michel Marcus, Dec 30 2014

Crossrefs

Cf. A073009, A083648, A253300.

Sequence in context: A197691 A342948 A258104 * A048271 A203146 A203128

Adjacent sequences: A253296 A253297 A253298 * A253300 A253301 A253302

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Dec 30 2014

Status

approved