A235730 - OEIS

%I #4 Jan 15 2014 06:51:23

%S 58,380,2481,15963,102683,659235,4232565,27168327,174393813,

%T 1119403274,7185285384,46121125726,296043902819,1900256127618,

%U 12197426714764,78293240150997,502551211372960,3225792130564117,20705819951262020

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

%C Column 2 of A235736

%H R. H. Hardin, <a href="/A235730/b235730.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -11*a(n-2) -56*a(n-3) +133*a(n-4) +13*a(n-5) -220*a(n-6) +73*a(n-7) +147*a(n-8) -64*a(n-9) -45*a(n-10) +19*a(n-11) +5*a(n-12) -2*a(n-13)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 15 2014