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A228741 Number of arrays of the median of three adjacent elements of some length-6 0..n array. 1

%I

%S 16,77,232,545,1096,1981,3312,5217,7840,11341,15896,21697,28952,37885,

%T 48736,61761,77232,95437,116680,141281,169576,201917,238672,280225,

%U 326976,379341,437752,502657,574520,653821,741056,836737,941392,1055565

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

%H R. H. Hardin, <a href="/A228741/b228741.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (n+1)*(2*n^3+10*n^2+9*n+3)/3.

%F 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 Some solutions for n = 4:

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

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

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

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

%Y Row 4 of A228740.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 01 2013

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Last modified May 24 02:49 EDT 2022. Contains 354005 sequences. (Running on oeis4.)