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Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no 2-cycles and with no more than 7-1 elements moved to themselves.
0

%I #3 Apr 15 2016 18:46:50

%S 1,3,23,426,21010,2422412,656536622,403782014944,553766164923422

%N Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no 2-cycles and with no more than 7-1 elements moved to themselves.

%C Column 7 of A271852.

%e Some solutions for n=4

%e .....0........6........5........5........6........6........5........0

%e ....4.6......2.3......6.1......4.1......2.6......2.3......6.1......0.0

%e ...2.0.5....0.4.5....6.3.1....6.4.5....2.5.6....4.5.5....0.2.5....6.4.5

%e ..2.3.3.0..0.2.3.0..0.4.4.1..2.3.1.0..2.3.1.3..2.3.4.1..0.0.4.1..2.3.1.0

%e Element moves: 0=itself 1=nw 2=ne 3=w 4=e 5=sw 6=se, reciprocals total 7

%Y Cf. A271852.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 15 2016