login
A126276
Moment of inertia of all magic cubes of order n.
2
18, 504, 5200, 31500, 136710, 471968, 1378944, 3547800, 8258250, 17728920, 35603568, 67606084, 122399550, 212688000, 356602880, 579419568, 915652674, 1411582200, 2128266000, 3145097340, 4563969718, 6514114464, 9157680000, 12696125000, 17377501050
OFFSET
2,1
LINKS
Peter Loly, The invariance of the moment of inertia of magic squares, Mathematical Gazette 88 (March 2004):151-153. [Wayback Machine link]
Ivars Peterson, Magic Square Physics, Science News online, Jul 01, 2006; Vol. 170, No. 1.
Adam Rogers and Peter Loly, Rotational sorcery: The inertial properties of magic squares and cubes. Canadian Undergraduate Physics Journal 3(No. 2):25, 2005. [Wayback Machine link]
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
a(n) = (n^3)*(n^3 + 1)*(n^2 - 1)/12.
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
CROSSREFS
Sequence in context: A116176 A035023 A180791 * A035277 A011906 A255859
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Dec 23 2006
EXTENSIONS
More terms from Colin Barker, May 08 2013
STATUS
approved