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A135820 Finite sequence of moves needed to flip the top uf, ub edges in a 3 X 3 X 3 Rubik's Cube. 6
14, 14, 98, 56, 56, 392 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

r,l,u,d,f,b are respectively right, left, up, down, front, back faces of a 3 X 3 X 3 Rubik's Cube. Set M=2, R=3, L=5, U=7, D=11, F=13, B=17, where M is a 90-degree turn of the middle slice of Rubik's Cube; R is a 90-degree turn of the right face, L is a 90-degree turn of the left face...

The moves to flip the top uf, ub edges are (M*U)*(M*U)*(M*U)*U*(M^3*U)*(M^3*U)*(M^3*U)*U = (2*7)*(2*7)*(2*7^2)*(2^3*7)*(2^3*7)*(2^3*7^2) = 14*14*98*56*56*392; note that as the order of a 90-degree turn T is 4, then T^2 = T^-2 and T^3 = T^-1. Moves adapted from 'Adventures in group theory'.

REFERENCES

D. Joyner, 'Adventures in Group Theory', John Hopkins Press.

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

For example, the number 14 = 2*7 encodes M*U moves.

CROSSREFS

Sequence in context: A214463 A006662 A247516 * A165835 A134913 A176169

Adjacent sequences:  A135817 A135818 A135819 * A135821 A135822 A135823

KEYWORD

fini,full,nonn

AUTHOR

Giorgio Balzarotti & Paolo P. Lava, Nov 29 2007

STATUS

approved

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Last modified February 16 02:32 EST 2019. Contains 320140 sequences. (Running on oeis4.)