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 A235976 Number of (n+1)X(3+1) 0..2 arrays with the upper median equal to the lower median in every 2X2 subblock 1

%I

%S 815,11239,143183,1947197,26090277,354374671,4798700327,65170792525,

%T 884485021717,12011793919475,163101327680283,2214982423225533,

%U 30079237388747229,408486630209059715,5547341478977062431

%N Number of (n+1)X(3+1) 0..2 arrays with the upper median equal to the lower median in every 2X2 subblock

%C Column 3 of A235981

%H R. H. Hardin, <a href="/A235976/b235976.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) +65*a(n-2) -1595*a(n-3) +223*a(n-4) +56171*a(n-5) -84933*a(n-6) -888167*a(n-7) +1946673*a(n-8) +6753582*a(n-9) -18488606*a(n-10) -22612278*a(n-11) +83476711*a(n-12) +13913001*a(n-13) -169841884*a(n-14) +68228390*a(n-15) +120510376*a(n-16) -85856240*a(n-17) -18639208*a(n-18) +25880752*a(n-19) -3208928*a(n-20) -1414464*a(n-21) +280064*a(n-22)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2014

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Last modified May 26 19:20 EDT 2019. Contains 323597 sequences. (Running on oeis4.)