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 A228742 Number of arrays of the median of three adjacent elements of some length 7 0..n array. 1

%I

%S 28,185,696,1943,4504,9191,17088,29589,48436,75757,114104,166491,

%T 236432,327979,445760,595017,781644,1012225,1294072,1635263,2044680,

%U 2532047,3107968,3783965,4572516,5487093,6542200,7753411,9137408,10712019

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

%C Row 5 of A228740

%H R. H. Hardin, <a href="/A228742/b228742.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (n+1)*(19*n^4+186*n^3+349*n^2+226*n+60)/60.

%F 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 Some solutions for n=4

%e ..2..2..4..2..2..1..3..2..1..3..0..3..2..0..0..3

%e ..2..2..4..0..2..0..2..1..4..3..2..1..4..1..4..3

%e ..4..2..4..4..1..0..2..0..1..3..0..2..0..4..1..0

%e ..1..4..1..0..4..0..0..1..4..1..0..2..0..1..4..2

%e ..2..1..2..4..1..0..1..3..4..2..0..3..0..4..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 01 2013

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Last modified May 28 00:30 EDT 2022. Contains 354110 sequences. (Running on oeis4.)