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Number of (n+1)X(4+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.
1

%I #6 Jul 23 2025 08:35:29

%S 746,16117,343063,7186597,150092214,3125826729,65064307612,

%T 1353709346996,28162807605171,585865208407308,12187532238559827,

%U 253530263035798053,5274041168239019195,109712641094198459037,2282284675777630661147

%N Number of (n+1)X(4+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

%C Column 4 of A235517

%H R. H. Hardin, <a href="/A235513/b235513.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 11 2014