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%I #6 Oct 20 2022 23:24:06
%S 180,4530,45232,274901,1219944,4350588,13201680,35373129,85849852,
%T 192208302,402420096,796122925,1500404816,2711339928,4722722400,
%U 7963669329,13047004740,20830593418,32494066704,49633671813,74378281912
%N Number of length 7+2 0..n arrays with the medians of every three consecutive terms nondecreasing.
%C Row 7 of A250140.
%H R. H. Hardin, <a href="/A250146/b250146.txt">Table of n, a(n) for n = 1..136</a>
%F Empirical: a(n) = (169/3780)*n^9 + (1867/2520)*n^8 + (4241/840)*n^7 + (829/45)*n^6 + (7103/180)*n^5 + (18479/360)*n^4 + (305191/7560)*n^3 + (11659/630)*n^2 + (533/105)*n + 1.
%e Some solutions for n=3
%e ..2....0....0....1....0....1....2....0....2....1....3....0....3....0....0....2
%e ..1....1....0....2....1....2....1....0....0....0....2....3....0....0....2....1
%e ..0....1....1....3....3....2....2....2....0....3....1....1....0....1....1....1
%e ..2....0....0....2....2....3....2....0....1....2....2....0....1....2....1....2
%e ..2....1....3....1....1....2....2....1....0....2....3....1....0....1....1....0
%e ..2....3....1....2....2....2....1....3....1....1....0....2....0....3....0....1
%e ..3....1....1....3....2....2....3....2....2....2....3....2....1....3....1....2
%e ..3....0....2....0....2....3....2....0....1....3....3....3....2....3....1....3
%e ..3....1....3....3....0....1....1....2....3....1....3....1....1....3....0....3
%Y Cf. A250140.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 13 2014
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