A213697 T(n,k)=Half the number of (n+1)X(n+1) symmetric 0..k arrays with no 2X2 subblock summing to 2k.

3, 11, 13, 28, 192, 70, 56, 1320, 7827, 529, 99, 5470, 208072, 750261, 5148, 159, 17499, 2322599, 109820000, 168382284, 68798, 240, 45892, 16537086, 4286833981, 193946752094, 88681187619, 1220409, 344, 105856, 84059234, 83545858925

Offset: 1

Author

R. H. Hardin Jun 18 2012

Keywords

• nonn
• tabl

Comments

Table starts

.....3..........11...............28..................56....................99

....13.........192.............1320................5470.................17499

....70........7827...........208072.............2322599..............16537086

...529......750261........109820000..........4286833981...........83545858925

..5148...168382284.....193946752094......34389632236877......2256314178023600

.68798.88681187619.1146407046198040.1199143411128185584.325754552781442854792

Examples

			Some solutions for n=4 k=4
..0..4..0..2..3....1..2..4..4..0....2..4..3..3..2....3..4..3..1..2
..4..2..0..3..3....2..1..3..4..1....4..2..3..3..1....4..2..2..1..0
..0..0..4..3..1....4..3..2..1..0....3..3..2..2..3....3..2..3..4..2
..2..3..3..2..0....4..4..1..0..0....3..3..2..3..2....1..1..4..2..4
..3..3..1..0..4....0..1..0..0..4....2..1..3..2..2....2..0..2..4..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..73

Crossrefs

Row 1 is A182260(n+1)