A375741 Decimal expansion of 6*Pi/(3*sqrt(3) + 8*Pi).

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

Offset: 0

Author

Stefano Spezia, Aug 26 2024

Keywords

• nonn
• cons
• easy

Comments

This constant expresses the expected proportion of individuals that belong to reciprocal nearest-neighbor relationship pairs in a population of random patterns over a plane.

Examples

			0.62150489688743159140596781880802827312707885...
		

References

• E. C. Pielou, An Introduction to Mathematical Ecology, John Wiley & Sons, Inc. 1969. See pp. 121-122.

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A000796, A010482, A010527, A019692, A019699, A228719, A228824.

Programs

Mathematica

RealDigits[6Pi/(3Sqrt[3]+8Pi),10,100][[1]]

Formula

Equals Integral_{x=0..oo} 2*Pi*x*exp(-x^2*(sqrt(3)/2+4*Pi/3)) dx. [Pielou, 1969]