A238255 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise.

16, 44, 44, 121, 180, 121, 286, 804, 804, 286, 676, 2818, 6828, 2818, 676, 1482, 9991, 43456, 43456, 9991, 1482, 3249, 29995, 284992, 523578, 284992, 29995, 3249, 6840, 90225, 1473792, 6683137, 6683137, 1473792, 90225, 6840, 14400, 241945, 7616082

Offset: 1

Author

R. H. Hardin, Feb 21 2014

Keywords

• nonn
• tabl

Comments

Table starts

....16......44.......121..........286.............676.............1482

....44.....180.......804.........2818............9991............29995

...121.....804......6828........43456..........284992..........1473792

...286....2818.....43456.......523578.........6683137.........65450601

...676....9991....284992......6683137.......171041320.......3320993180

..1482...29995...1473792.....65450601......3320993180.....128727296869

..3249...90225...7616082....640472606.....64353451945....5017308028639

..6840..241945..32986844...5080416791....992794904591..154350327958339

.14400..649320.142361644..40066932588..15160526139045.4704917436206270

.29640.1605951.537301496.267891545518.192941078342371

Examples

			Some solutions for n=3 k=4
..0..0..0..0..1....0..0..0..1..1....0..0..0..1..0....1..0..1..0..1
..0..0..0..1..1....1..0..1..0..1....0..0..0..0..1....0..0..1..0..1
..1..1..1..1..0....0..1..0..1..1....0..1..0..0..0....1..1..0..1..0
..0..0..1..0..1....1..1..1..0..0....1..1..1..1..0....1..0..0..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A204032

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) -18*a(n-3) +17*a(n-4) +22*a(n-5) -36*a(n-6) +20*a(n-8) -8*a(n-9)

k=2: [order 33]

k=3: [order 81]