cp's OEIS Frontend

A228743 Number of arrays of the median of three adjacent elements of some length 8 0..n array.

%I A228743 #11 Sep 02 2013 11:45:49
%S A228743 50,447,2072,6797,17986,41083,84288,159321,282274,474551,763896,
%T A228743 1185509,1783250,2610931,3733696,5229489,7190610,9725359,12959768,
%U A228743 17039421,22131362,28426091,36139648,45515785,56828226,70383015,86520952
%N A228743 Number of arrays of the median of three adjacent elements of some length 8 0..n array.
%C A228743 Row 6 of A228740
%H A228743 R. H. Hardin, <a href="/A228743/b228743.txt">Table of n, a(n) for n = 1..210</a>
%F A228743 Empirical: a(n) = (n+1)*(11*n^5+199*n^4+706*n^3+824*n^2+420*n+90)/90.
%F A228743 Empirical: G.f. -x*(50+97*x-7*x^2-70*x^3+24*x^4-7*x^5+x^6) / (x-1)^7 . - _R. J. Mathar_, Sep 02 2013
%e A228743 Some solutions for n=4
%e A228743 ..2..3..1..2..4..3..4..4..0..4..2..1..0..3..4..2
%e A228743 ..1..4..3..2..2..2..0..3..3..2..4..2..2..3..0..0
%e A228743 ..2..1..0..4..2..1..0..4..3..2..0..3..1..3..0..3
%e A228743 ..1..1..4..4..1..0..2..2..3..2..4..3..3..3..3..0
%e A228743 ..4..1..0..4..4..1..2..3..1..3..0..0..1..0..3..2
%e A228743 ..3..4..0..2..2..3..4..2..0..2..0..0..0..1..4..0
%K A228743 nonn
%O A228743 1,1
%A A228743 _R. H. Hardin_, Sep 01 2013