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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..26.

Peter Loly, The invariance of the moment of inertia of magic squares, Mathematical Gazette 88(March 2004):151-153

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.

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

Adjacent sequences:  A126273 A126274 A126275 * A126277 A126278 A126279

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Dec 23 2006

EXTENSIONS

More terms from Colin Barker, May 08 2013

STATUS

approved

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Last modified September 29 09:40 EDT 2020. Contains 337428 sequences. (Running on oeis4.)