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%I #4 Dec 02 2014 17:40:20
%S 12,97,380,1113,2532,5097,9120,15449,24344,36877,53400,75541,103332,
%T 138857,182012,235645,299348,376229,465720,572073,693956,836041,
%U 996988,1182653,1390604,1627337,1890212,2187213,2514672,2880669,3281476,3727513
%N Number of length 3+2 0..n arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero
%C Row 3 of A251428
%H R. H. Hardin, <a href="/A251430/b251430.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = -2*a(n-1) -4*a(n-2) -5*a(n-3) -5*a(n-4) -2*a(n-5) +3*a(n-6) +10*a(n-7) +17*a(n-8) +21*a(n-9) +21*a(n-10) +14*a(n-11) +3*a(n-12) -13*a(n-13) -27*a(n-14) -38*a(n-15) -40*a(n-16) -34*a(n-17) -19*a(n-18) +19*a(n-20) +34*a(n-21) +40*a(n-22) +38*a(n-23) +27*a(n-24) +13*a(n-25) -3*a(n-26) -14*a(n-27) -21*a(n-28) -21*a(n-29) -17*a(n-30) -10*a(n-31) -3*a(n-32) +2*a(n-33) +5*a(n-34) +5*a(n-35) +4*a(n-36) +2*a(n-37) +a(n-38)
%e Some solutions for n=10
%e .10....6....6....1...10....6...10....6....6....8....0....5....6....2....1....8
%e ..4....8....7....0....6....2....6....4....5....4....8....9...10....6....5....6
%e ..6....5....9....1....7....5....6....7....2....5....5....1....3....5....4....8
%e .10....9....7....9....0....4....4....9....3....2...10....2....9....9....2....4
%e ..2....4...10....2....5....0...10....8....2....5....3....9....4....9....9....7
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 02 2014
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