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%I #3 Nov 26 2014 12:19:24
%S 1,232,296,10766,56088,812004,6290716,61126790,491825108,4180573372,
%T 33502889991,273041099842,2183663605890,17568263304218,
%U 140464317638347,1125725667836824,9002272474197863,72061032003482452,576368920287459218
%N Number of length n+1 0..7 arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero
%C Column 7 of A250646
%e Some solutions for n=5
%e ..4....1....0....7....1....0....2....2....0....0....5....6....5....1....0....6
%e ..4....1....3....3....0....6....2....5....4....2....7....4....3....4....3....7
%e ..4....5....5....5....4....1....6....3....3....6....6....5....1....5....5....3
%e ..1....7....3....4....6....3....1....7....3....5....4....2....7....7....4....0
%e ..1....4....0....3....3....4....1....0....3....3....4....3....2....2....3....1
%e ..3....4....0....0....3....7....1....4....6....0....4....3....0....5....7....2
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 26 2014