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A014525 Order of shuffle group for deck of 3n cards. 1
1, 6, 720, 72, 239500800, 1307674368000, 6402373705728000, 51090942171709440000, 310224200866619719680000, 648, 265252859812191058636308480000000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

W. Bosma et al., Solving Problems with MAGMA, Sect. 2.2.3.

Cannon and Playoust, An Introduction to MAGMA, Section 6.3.1.

PROG

(MAGMA) SG := function(n) m := 3*n; G := SymmetricGroup(m); p := &*[ G | (i, i+2*n): i in [ 1..n ]]; q := &*[ G | (i, i+n, i+2*n): i in [ 1..n ]]; s := [ ((i-1) mod 3 ) * n + (i-1) div 3 + 1: i in [ 1..m ]]; return Order(sub<G | p, q, s >); end function;

CROSSREFS

Cf. A014766.

Sequence in context: A116298 A112637 A201391 * A188960 A100732 A003923

Adjacent sequences:  A014522 A014523 A014524 * A014526 A014527 A014528

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 04:18 EST 2012. Contains 205860 sequences.