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%I #6 Apr 18 2023 08:40:11
%S 4,20,52,208,704,2720,10952,45888,195516,852260,3760588,16656832,
%T 73584076,323148964,1409241264,6099051768,26171960056,111250573364,
%U 468230400620,1951667338228,8063089066756,33057662096520,134680763671240
%N Number of length n+1 0..3 arrays with the sum of the cubes of adjacent differences multiplied by some arrangement of +-1 equal to zero.
%C Column 3 of A250229.
%H R. H. Hardin, <a href="/A250224/b250224.txt">Table of n, a(n) for n = 1..29</a>
%e Some solutions for n=6
%e ..2....2....3....2....2....2....2....2....0....2....0....2....1....2....2....1
%e ..3....1....2....2....3....1....0....0....0....2....0....2....2....3....2....2
%e ..2....2....2....2....1....3....2....1....0....2....3....3....1....2....1....2
%e ..3....1....1....1....3....3....1....2....1....3....0....2....1....3....0....3
%e ..1....3....2....0....2....3....1....3....2....0....3....3....2....3....1....2
%e ..3....2....3....1....3....1....0....2....0....3....3....2....3....3....0....2
%e ..2....0....3....2....2....0....0....0....2....2....0....2....3....2....0....3
%Y Cf. A250229.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 14 2014