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 A237392 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal 1

%I

%S 256,1314,7172,41062,239176,1413864,8412540,50339772,302048100,

%T 1816603960,10938456484,65931180904,397609705028,2398955670224,

%U 14477721582308,87393037228072,527613311664980,3185743214543624

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

%C Column 1 of A237398

%H R. H. Hardin, <a href="/A237392/b237392.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -a(n-2) -1192*a(n-3) +4094*a(n-4) +36112*a(n-5) -198360*a(n-6) -545444*a(n-7) +4685891*a(n-8) +3321208*a(n-9) -67390781*a(n-10) +22829928*a(n-11) +639650148*a(n-12) -651316000*a(n-13) -4142764754*a(n-14) +6470375444*a(n-15) +18376040396*a(n-16) -38949652408*a(n-17) -54036290680*a(n-18) +157297776560*a(n-19) +92738689520*a(n-20) -438302540448*a(n-21) -34343558400*a(n-22) +839286075392*a(n-23) -244016746496*a(n-24) -1069165264896*a(n-25) +639661955072*a(n-26) +836754953216*a(n-27) -778903263232*a(n-28) -321097089024*a(n-29) +509360603136*a(n-30) -5457870848*a(n-31) -162308947968*a(n-32) +40198209536*a(n-33) +17667063808*a(n-34) -6990594048*a(n-35) -343932928*a(n-36) +320864256*a(n-37) -25165824*a(n-38)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 07 2014

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Last modified January 30 21:42 EST 2023. Contains 359947 sequences. (Running on oeis4.)