cp's OEIS Frontend

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.

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).

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%I A361619 #9 Aug 09 2025 03:36:02
%S A361619 1,7,9,9,7,3,0,7,2,2,8,8,5,8,0,1,2,3
%N 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).
%C A361619 The corresponding value in degrees is 10.3116974681...
%H A361619 Amiram Eldar, <a href="/A361618/a361618.txt">Mathematica code for A361618 and A361619</a>.
%H A361619 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 A361619 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 A361619 Wikipedia, <a href="https://en.wikipedia.org/wiki/Misorientation">Misorientation</a>.
%F A361619 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.
%e A361619 0.179973072288580123...
%t A361619 (* See the program in the links section. *)
%Y A361619 Cf. A228496, A361601, A361618, A361620, A361621.
%K A361619 nonn,cons,more
%O A361619 0,2
%A A361619 _Amiram Eldar_, Mar 18 2023