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A228741 Number of arrays of the median of three adjacent elements of some length-6 0..n array.

%I A228741 #15 Sep 02 2013 12:56:35
%S A228741 16,77,232,545,1096,1981,3312,5217,7840,11341,15896,21697,28952,37885,
%T A228741 48736,61761,77232,95437,116680,141281,169576,201917,238672,280225,
%U A228741 326976,379341,437752,502657,574520,653821,741056,836737,941392,1055565
%N A228741 Number of arrays of the median of three adjacent elements of some length-6 0..n array.
%H A228741 R. H. Hardin, <a href="/A228741/b228741.txt">Table of n, a(n) for n = 1..210</a>
%F A228741 Empirical: a(n) = (n+1)*(2*n^3+10*n^2+9*n+3)/3.
%F A228741 Empirical: G.f. -x*(16-3*x+7*x^2-5*x^3+x^4) / (x-1)^5 . - _R. J. Mathar_, Sep 02 2013
%e A228741 Some solutions for n = 4:
%e A228741 ..3..3..0..4..0..2..2..2..1..3..0..1..1..0..0..2
%e A228741 ..2..0..3..0..0..2..4..4..1..2..3..3..0..0..2..4
%e A228741 ..1..0..1..0..3..3..3..0..2..0..3..3..3..4..2..2
%e A228741 ..2..1..3..0..1..2..4..2..0..1..4..3..4..2..4..0
%Y A228741 Row 4 of A228740.
%K A228741 nonn
%O A228741 1,1
%A A228741 _R. H. Hardin_, Sep 01 2013