The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A080662 Order of group of n X n X n Rubik cube, under assumptions s, not-m, i. 7
 1, 3674160, 88580102706155225088000, 326318176648849198250599213408124182588293120000000000, 25658098810418462614156980952771358874191154069919957663814291417013979423841452032000000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The three possible assumptions considered here are the following: s (for n odd) indicates that we are working in the "supergroup" and so take account of twists of the face centers. m (for n > 3) indicates that the pieces are marked so that we take account of the permutation of the identically-colored pieces on a face. i (for n > 3) indicates that we are working in the theoretical invisible group and solve the pieces on the interior of the cube as well as the exterior. It is assumed that the M and S traits apply to the interior pieces as if they were on the exterior of a smaller cube. REFERENCES Dan Hoey, posting to Cube Lovers List, Jun 24, 1987. Rowley, Chris, The group of the Hungarian magic cube, in Algebraic structures and applications (Nedlands, 1980), pp. 33-43, Lecture Notes in Pure and Appl. Math., 74, Dekker, New York, 1982. LINKS Alan Bawden, Cube Lovers Archive, Part 6 MAPLE f := proc(n) local A, B, C, D, E, F, G; if n mod 2 = 1 then A := (n-1)/2; F := 0; B := (n-1)/2; C := (n-1)/2; D := (n-1)/2; E := (n+4)*(n-1)*(n-3)/24; G := (n^2-1)*(n-3)/24; else A := n/2; F := 1; B := n/2; C := 0; D := 0; E := n*(n^2-4)/24; G := n*(n-1)*(n-2)/24; fi; (2^A*((8!/2)*3^7)^B*((12!/2)*2^11)^C*((4^6)/2)^D*(24!/2)^E)/(24^F*((24^6)/2)^G); end; CROSSREFS See A007458, A054434, A075152, A074914, A080656-A080661 for other versions. Sequence in context: A080656 A074914 A080661 * A080660 A080659 A328215 Adjacent sequences:  A080659 A080660 A080661 * A080663 A080664 A080665 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 01 2003 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 21 11:01 EST 2020. Contains 331105 sequences. (Running on oeis4.)