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%I #4 Apr 17 2016 09:48:39
%S 1,1,3,1,6,23,1,6,44,445,1,6,59,1207,23145,1,6,61,1828,74247,3135539,
%T 1,6,61,2153,133056,12282848,1120710711,1,6,61,2261,177988,25994687,
%U 5228980482,1054066365149,1,6,61,2267,202966,39916412,12952862226
%N T(n,k)=Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no more than k-1 2-cycles.
%C Table starts
%C .............1.............1..............1..............1..............1
%C .............3.............6..............6..............6..............6
%C ............23............44.............59.............61.............61
%C ...........445..........1207...........1828...........2153...........2261
%C .........23145.........74247.........133056.........177988.........202966
%C .......3135539......12282848.......25994687.......39916412.......50507975
%C ....1120710711....5228980482....12952862226....22826735465....32409741782
%C .1054066365149.5803552280765.16738437591113.33845098700440.54228205133050
%H R. H. Hardin, <a href="/A271969/b271969.txt">Table of n, a(n) for n = 1..76</a>
%e Some solutions for n=4 k=4
%e .....6........0........0........0........0........6........6........0
%e ....2.6......5.0......0.0......6.0......5.6......2.3......0.1......0.0
%e ...6.1.3....2.0.5....5.6.3....6.1.5....4.1.1....5.5.0....5.3.5....0.6.6
%e ..2.3.0.0..4.3.4.1..2.0.4.1..2.3.2.0..0.0.0.0..2.2.0.0..4.2.4.1..0.2.3.1
%e Element moves: 0=itself 1=nw 2=ne 3=w 4=e 5=sw 6=se, reciprocals total 7
%K nonn,tabl
%O 1,3
%A _R. H. Hardin_, Apr 17 2016
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