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

1,1

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

Links

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

Example

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

Crossrefs

Row 1 is A182260(n+1)

Sequence in context: A296933 A391384 A270543 * A287348 A019374 A033680

Adjacent sequences: A213694 A213695 A213696 * A213698 A213699 A213700

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 18 2012

Status

approved