A361619 Decimal expansion of the standard deviation of the distribution of the least of the nine acute angles between pairs of edges of two randomly disoriented cubes (in radians).

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

Offset

0,2

Comments

The corresponding value in degrees is 10.3116974681...

Links

Table of n, a(n) for n=0..17.

Amiram Eldar, Mathematica code for A361618 and A361619.

J. K. Mackenzie, Second Paper on Statistics Associated with the Random Disorientation of Cubes, Biometrika, Vol. 45, No. 1-2 (1958), pp. 229-240.

J. K. Mackenzie and M. J. Thomson, Some Statistics Associated with the Random Disorientation of Cubes, Biometrika, Vol. 44, No. 1-2 (1957), pp. 205-210.

Wikipedia, Misorientation.

Formula

Equals sqrt(<t^2> - <t>^2), where <t^k> = Integral_{t=0..arccos(2/3)} t^k * P(t) dt, and P(t) is given in A361618.

Example

0.179973072288580123...

Mathematica

See the program in the links section.

Crossrefs

Cf. A228496, A361601, A361618, A361620, A361621.

Sequence in context: A347218 A175642 A242612 * A199386 A143959 A121313

Adjacent sequences: A361616 A361617 A361618 * A361620 A361621 A361622

Keyword

nonn,cons,more

Author

Amiram Eldar, Mar 18 2023

Status

approved