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

%I #7 May 04 2021 15:45:59

%S 1,5,22,532,19448,2249488,556148184,357523207792,546128923805904,

%T 2069530459322561760,19127220928721943633120

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

%C Column 2 of A271684.

%e Some solutions for n=4

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

%e ....4.1......4.6......5.1......2.5......4.3......2.5......2.5......4.1

%e ...5.3.3....5.1.6....4.6.1....2.4.6....5.5.3....6.3.1....6.2.5....6.0.5

%e ..4.4.4.1..2.2.3.3..4.3.4.1..0.1.3.3..2.4.4.1..0.4.4.1..2.3.2.0..2.3.4.1

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

%Y Cf. A271684.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 12 2016