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 A014525 Order of shuffle group for deck of 3n cards. 2
 1, 6, 720, 72, 239500800, 1307674368000, 6402373705728000, 51090942171709440000, 310224200866619719680000, 648, 265252859812191058636308480000000 (list; graph; refs; listen; history; text; 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. LINKS Sean A. Irvine, Table of n, a(n) for n = 0..33 FORMULA Conjecture: a(3^m) = (m+1) * 6^(m+1), a(4*m) = (1/2) * (3*4*m)!, otherwise a(n) = (3*n)!. - Sean A. Irvine, Nov 07 2018 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); end function; CROSSREFS Cf. A014766. Sequence in context: A218559 A201391 A289367 * A289747 A188960 A100732 Adjacent sequences:  A014522 A014523 A014524 * A014526 A014527 A014528 KEYWORD nonn AUTHOR STATUS approved

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Last modified January 16 11:20 EST 2019. Contains 319188 sequences. (Running on oeis4.)