cp's OEIS Frontend

A228742 Number of arrays of the median of three adjacent elements of some length 7 0..n array.

%I A228742 #8 Sep 02 2013 12:10:24
%S A228742 28,185,696,1943,4504,9191,17088,29589,48436,75757,114104,166491,
%T A228742 236432,327979,445760,595017,781644,1012225,1294072,1635263,2044680,
%U A228742 2532047,3107968,3783965,4572516,5487093,6542200,7753411,9137408,10712019
%N A228742 Number of arrays of the median of three adjacent elements of some length 7 0..n array.
%C A228742 Row 5 of A228740
%H A228742 R. H. Hardin, <a href="/A228742/b228742.txt">Table of n, a(n) for n = 1..210</a>
%F A228742 Empirical: a(n) = (n+1)*(19*n^4+186*n^3+349*n^2+226*n+60)/60.
%F A228742 Empirical: G.f. -x*(-28-17*x-6*x^2+18*x^3-6*x^4+x^5) / (x-1)^6. - _R. J. Mathar_, Sep 02 2013
%e A228742 Some solutions for n=4
%e A228742 ..2..2..4..2..2..1..3..2..1..3..0..3..2..0..0..3
%e A228742 ..2..2..4..0..2..0..2..1..4..3..2..1..4..1..4..3
%e A228742 ..4..2..4..4..1..0..2..0..1..3..0..2..0..4..1..0
%e A228742 ..1..4..1..0..4..0..0..1..4..1..0..2..0..1..4..2
%e A228742 ..2..1..2..4..1..0..1..3..4..2..0..3..0..4..1..2
%K A228742 nonn
%O A228742 1,1
%A A228742 _R. H. Hardin_, Sep 01 2013