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%I #5 Dec 15 2023 20:08:55
%S 19,1197,2452,46945,246003,2521335,16987236,134079743,932611547,
%T 6789960255,47460044577,336719190243,2355817261111,16570926140871,
%U 115971713357683,813294142451421,5692584117442169,39876957472466661
%N Number of length n+2 0..6 arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero.
%C Column 6 of A253129.
%e Some solutions for n=4
%e ..0....4....1....3....1....4....0....4....5....2....4....2....1....0....6....5
%e ..2....0....2....5....3....3....4....3....0....4....5....2....6....2....2....3
%e ..4....0....0....6....5....3....4....0....4....6....4....6....5....4....2....2
%e ..2....3....0....4....2....0....1....4....2....3....1....1....6....1....4....3
%e ..1....5....1....3....2....2....1....3....4....6....0....2....4....2....4....4
%e ..5....3....5....4....0....3....6....2....0....6....4....4....6....2....3....3
%Y Cf. A253129.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 27 2014