A257176 Decimal expansion of Integral_{x=0..1} Integral_{y=0..x} sin(x*y) dy dx.

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

Offset

0,3

Comments

One of the examples in Mathematica's help file under "Integrate".

Links

Table of n, a(n) for n=0..104.

Formula

Equals (A001620-A099282)/2.

Example

0.1199058710002823629719329430966258305222906516770958520022243462243686983763....

Mathematica

RealDigits[Integrate[Sin[x y], {x, 0, 1}, {y, 0, x}], 10, 111][[1]]

Prog

(PARI) (Euler-real(-eint1(I)))/2 \\ Charles R Greathouse IV, May 15 2026

Crossrefs

Cf. A001620, A099282.

Sequence in context: A021838 A199960 A385535 * A387444 A324859 A377694

Adjacent sequences: A257173 A257174 A257175 * A257177 A257178 A257179

Keyword

nonn,cons,easy

Author

Robert G. Wilson v, Apr 17 2015

Status

approved