This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A361603 #12 Apr 13 2025 03:19:29
%S A361603 1,9,7,4,8,3,0,2,6,7,7,9,4,9,4,1,6,4,0,2,6,0,7,9,9,2,7,7,5,3,7,8,4,2,
%T A361603 5,4,9,8,5,3,8,6,4,7,6,3,0,2,9,8,4,5,3,7,0,8,4,9,7,9,7,4,2,3,0,3,4,2,
%U A361603 9,1,5,2,8,1,2,1,9,1,2,7,1,8,5,7,6,0,5,5,8,0,2,5,2,6,0,6,8,1,6,1,7,7,6,9,2
%N A361603 Decimal expansion of the standard deviation of the distribution of disorientation angles between two identical cubes (in radians).
%C A361603 The probability distribution function of disorientation angles was calculated for random rotations uniformly distributed with respect to Haar measure (see, e.g., Rummler, 2002).
%C A361603 See A361601 for more details.
%C A361603 The angle in degrees is 11.3149439599...
%H A361603 Amiram Eldar, <a href="/A361602/a361602.txt">Mathematica code for A361602, A361603 and A361604</a>.
%H A361603 D. C. Handscomb, <a href="https://doi.org/10.4153/CJM-1958-010-0">On the random disorientation of two cubes</a>, Canadian Journal of Mathematics, Vol. 10 (1958), pp. 85-88.
%H A361603 J. K. Mackenzie, <a href="http://www.jstor.org/stable/2333059">Second Paper on Statistics Associated with the Random Disorientation of Cubes</a>, Biometrika, Vol. 45, No. 1-2 (1958), pp. 229-240.
%H A361603 J. K. Mackenzie and M. J. Thomson, <a href="http://www.jstor.org/stable/2333253">Some Statistics Associated with the Random Disorientation of Cubes</a>, Biometrika, Vol. 44, No. 1-2 (1957), pp. 205-210.
%H A361603 Hansklaus Rummler, <a href="https://doi.org/10.1007/BF03025318">On the distribution of rotation angles how great is the mean rotation angle of a random rotation?</a>, The Mathematical Intelligencer, Vol. 24, No. 4 (2002), pp. 6-11; <a href="https://core.ac.uk/download/pdf/159153606.pdf">alternative link</a>.
%H A361603 Wikipedia, <a href="https://en.wikipedia.org/wiki/Misorientation">Misorientation</a>.
%F A361603 Equals sqrt(<t^2> - <t>^2), where <t^k> = Integral_{t=0..tmax} t^k * P(t) dt, tmax = A361601, and P(t) is given in the Formula section of A361602.
%e A361603 0.19748302677949416402607992775378425498538647630298...
%t A361603 (* See the program in the links section. *)
%Y A361603 Cf. A361601, A361602, A361604.
%K A361603 nonn,cons
%O A361603 0,2
%A A361603 _Amiram Eldar_, Mar 17 2023