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%I #6 Aug 10 2014 12:12:56
%S 2,18,164,676,2262,5766,13064,25992,48170,82810,135852,212268,320894,
%T 468846,668432,929296,1267794,1696482,2236340,2903220,3723302,4716118,
%U 5913624,7339416,9031802,11018826,13345724,16045372,19170510,22759230
%N Number of length 3+2 0..n arrays with no pair in any consecutive three terms totalling exactly n
%C Row 3 of A245995
%H R. H. Hardin, <a href="/A245998/b245998.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -8*a(n-3) +6*a(n-4) +6*a(n-5) -8*a(n-6) +3*a(n-8) -a(n-9).
%F Empirical: G.f.: 2*x*(1+6*x+55*x^2+100*x^3+183*x^4+86*x^5+49*x^6) / ( (1+x)^3*(x-1)^6 ). - _R. J. Mathar_, Aug 10 2014
%e Some solutions for n=10
%e ..6....9....2....7....1...10....9....7....9....9....3....5....1....5....5....6
%e ..8....9....7...10....4....8....8....9...10....6....9....6....5....6....8....1
%e ..3...10...10....9....3....4...10....0....3....2....2....1....2....7....3....5
%e ..6....2....5....4....2....9...10....3....2...10....4....2....1....2....5....1
%e ..3....2...10....4....9...10....6....0....9....9...10....3....7....1....8....0
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 09 2014
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