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%I #27 Sep 30 2023 13:41:28
%S 18,504,5200,31500,136710,471968,1378944,3547800,8258250,17728920,
%T 35603568,67606084,122399550,212688000,356602880,579419568,915652674,
%U 1411582200,2128266000,3145097340,4563969718,6514114464,9157680000,12696125000,17377501050
%N Moment of inertia of all magic cubes of order n.
%H Peter Loly, <a href="https://web.archive.org/web/20220723032820/http://home.cc.umanitoba.ca/~loly/MathGaz.pdf">The invariance of the moment of inertia of magic squares</a>, Mathematical Gazette 88 (March 2004):151-153. [Wayback Machine link]
%H Ivars Peterson, <a href="https://www.sciencenews.org/article/magic-square-physics">Magic Square Physics</a>, Science News online, Jul 01, 2006; Vol. 170, No. 1.
%H Adam Rogers and Peter Loly, <a href="https://web.archive.org/web/20101226235734/http://www.cupj.ca/0302_rotational.pdf">Rotational sorcery: The inertial properties of magic squares and cubes</a>. Canadian Undergraduate Physics Journal 3(No. 2):25, 2005. [Wayback Machine link]
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%H <a href="/index/Mo#moment_of_inertia">Index entries for sequences related to moment of inertia</a>.
%F a(n) = (n^3)*(n^3 + 1)*(n^2 - 1)/12.
%F G.f.: -2*x^2*(7*x^5+171*x^4+666*x^3+656*x^2+171*x+9) / (x-1)^9. - _Colin Barker_, May 08 2013
%K easy,nonn
%O 2,1
%A _Jonathan Vos Post_, Dec 23 2006
%E More terms from _Colin Barker_, May 08 2013
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