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Search: id:A014525
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| A014525 |
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Order of shuffle group for deck of 3n cards. |
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+0
2
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| 1, 6, 720, 72, 239500800, 1307674368000, 6402373705728000, 51090942171709440000, 310224200866619719680000, 648, 265252859812191058636308480000000
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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W. Bosma et al., Solving Problems with MAGMA, Sect. 2.2.3.
Cannon and Playoust, An Introduction to MAGMA, Section 6.3.1.
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PROGRAM
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(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;
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CROSSREFS
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Cf. A014766.
Sequence in context: A125535 A116298 A112637 this_sequence A100732 A003923 A002204
Adjacent sequences: A014522 A014523 A014524 this_sequence A014526 A014527 A014528
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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