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A253299 Decimal expansion of integral_{x=0..1} x^(x^2) dx. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
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.

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-Fran├žois Alcover, Dec 30 2014

STATUS

approved

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Last modified October 23 19:26 EDT 2021. Contains 348215 sequences. (Running on oeis4.)