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A235737 Number of (n+1)X(1+1) 0..2 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise 2

%I #5 Jan 15 2014 07:27:55

%S 81,576,3992,26088,167892,1060410,6648825,41411637,257111073,

%T 1592383950,9849348220,60864784416,375923971008,2321047520028,

%U 14327865017369,88434810763449,545798500182681,3368378623889316,20787263257726248

%N Number of (n+1)X(1+1) 0..2 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise

%C Column 1 of A235742

%H R. H. Hardin, <a href="/A235737/b235737.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -144*a(n-3) +122*a(n-4) +726*a(n-5) -372*a(n-6) -1500*a(n-7) +239*a(n-8) +1353*a(n-9) +156*a(n-10) -444*a(n-11) -144*a(n-12)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 15 2014

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Last modified August 26 06:07 EDT 2024. Contains 375454 sequences. (Running on oeis4.)