%I #6 Apr 12 2016 09:03:04
%S 0,2,4,132,3440,358792,71771952,39547904272,51276433391328,
%T 167894702548149600,1348410361035047416704
%N Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no more than 1-1 elements moved to themselves.
%C Column 1 of A271684.
%e Some solutions for n=4
%e .....5........6........6........5........5........5........6........6
%e ....5.1......6.1......6.1......2.6......4.1......6.1......2.6......2.3
%e ...5.2.5....2.6.6....5.1.6....5.2.6....6.4.3....5.2.6....5.1.6....5.6.6
%e ..4.2.4.1..2.3.3.1..4.1.2.3..2.2.3.3..2.3.4.3..4.1.2.3..4.1.1.3..2.2.3.1
%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