A236273 - OEIS

%I #4 Jan 21 2014 12:30:50

%S 1048,15434,232736,3604782,56299040,884625654,13930389246,

%T 219666732130,3465756760168,54697571104400,863364488755858,

%U 13628610245730708,215140611062094002,3396256121150879282,53614426723942801722

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

%C Column 3 of A236278

%H R. H. Hardin, <a href="/A236273/b236273.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 23*a(n-1) -16*a(n-2) -2232*a(n-3) +7199*a(n-4) +81562*a(n-5) -305840*a(n-6) -1579897*a(n-7) +5702786*a(n-8) +18527773*a(n-9) -56010227*a(n-10) -138644483*a(n-11) +297115491*a(n-12) +656260628*a(n-13) -774956030*a(n-14) -1816063888*a(n-15) +616468708*a(n-16) +2397532500*a(n-17) +617130944*a(n-18) -763319696*a(n-19) -368062992*a(n-20) +11133168*a(n-21) +22287808*a(n-22) +1286144*a(n-23) -327168*a(n-24) -26624*a(n-25)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 21 2014