A235779 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise

256, 2612, 2612, 23024, 68942, 23024, 180640, 1581879, 1581879, 180640, 1321956, 30969609, 101237218, 30969609, 1321956, 9182760, 545929374, 5639406769, 5639406769, 545929374, 9182760, 61590128, 8741113000, 284827103857

Offset

1,1

Comments

Table starts

......256.......2612........23024.......180640......1321956........9182760

.....2612......68942......1581879.....30969609....545929374.....8741113000

....23024....1581879....101237218...5639406769.284827103857.12969746978427

...180640...30969609...5639406769.960684617696

..1321956..545929374.284827103857

..9182760.8741113000

.61590128

Links

R. H. Hardin, Table of n, a(n) for n = 1..31

Example

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

Crossrefs

Column 1 is A235556

Sequence in context: A188705 A236601 A236597 * A235559 A235556 A236624

Adjacent sequences: A235776 A235777 A235778 * A235780 A235781 A235782

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 15 2014

Status

approved