A394836 Decimal expansion of the probability that three points selected uniformly and independently at random one on each of the three sides of an equilateral triangle form an acute triangle.

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

Offset

0,1

References

Stanley Rabinowitz, Problems and Solutions from the Mathematical Visitor 1877-1896, MathPro Press, 1991, page 36.

Links

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

Enoch Beery Seitz, Problem 20, The Mathematical Visitor, Vol. 1, No. 2 (1878), pp. 40-41.

Index entries for transcendental numbers.

Formula

Equals (27*log(4/3) - 7)/2.

Example

0.383707978099042520429456580916670325297381097119774...

Mathematica

RealDigits[(27*Log[4/3] - 7)/2, 10, 120][[1]]

Prog

(PARI) (27*log(4/3) - 7)/2

Crossrefs

Cf. A083679, A387235, A394107.

Sequence in context: A333287 A360199 A360851 * A117240 A151857 A359200

Adjacent sequences: A394833 A394834 A394835 * A394837 A394838 A394839

Keyword

nonn,cons

Author

Amiram Eldar, Apr 04 2026

Status

approved