A186629 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with 3X3 subblock sums nondecreasing rightwards and downwards.

262144, 9576448, 9576448, 349839616, 876951552, 349839616, 12780078472, 80485522400, 80485522400, 12780078472, 351107784608, 7188107084815, 18496850510312, 7188107084815, 351107784608, 9646003088512, 422905697694540

Offset

1,1

Comments

Table starts

........262144.........9576448........349839616......12780078472

.......9576448.......876951552......80485522400....7188107084815

.....349839616.....80485522400...18496850510312.3990816642970118

...12780078472...7188107084815.3990816642970118

..351107784608.422905697694540

.9646003088512

Links

R. H. Hardin, Table of n, a(n) for n = 1..24

Example

Some solutions for 5X4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..2..0....2..0..0..3....0..0..0..0....0..0..2..2....0..0..0..0
..0..0..3..2....0..0..1..0....0..0..3..0....2..2..3..0....0..3..1..2
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..3..3..0..2....3..0..1..3....2..1..1..3....0..3..2..3....1..1..2..1

Crossrefs

Sequence in context: A223336 A250868 A250861 * A186626 A016998 A017070

Adjacent sequences: A186626 A186627 A186628 * A186630 A186631 A186632

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 24 2011

Status

approved