A183419 T(n,k)=Number of nXk 0..2 arrays with each sum of a(1..i,1..j) no greater than i*j

2, 5, 5, 13, 34, 13, 35, 249, 249, 35, 96, 1920, 5257, 1920, 96, 267, 15232, 118128, 118128, 15232, 267, 750, 123323, 2748326, 7798591, 2748326, 123323, 750, 2123, 1012996, 65521060, 535504390, 535504390, 65521060, 1012996, 2123, 6046, 8413325

Offset

1,1

Comments

Table starts

.....2.........5.............13..................35....................96

.....5........34............249................1920.................15232

....13.......249...........5257..............118128...............2748326

....35......1920.........118128.............7798591.............535504390

....96.....15232........2748326...........535504390..........108917015732

...267....123323.......65521060.........37791169786........22819790947743

...750...1012996.....1589310971.......2719090433234......4882354760830113

..2123...8413325....39061152272.....198527626261156...1061262556019472565

..6046..70482133...969912553822...14661270464301970.233540084105702534983

.17303.594587235.24282796177101.1092691428398410348

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

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..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..1..1....0..0..2..1....0..0..2..0....0..1..0..0....0..0..1..1
..1..1..0..2....0..0..2..1....0..0..1..0....1..1..1..1....0..2..2..2
..2..1..2..0....2..1..0..0....0..2..1..0....0..2..2..0....1..2..2..1

Crossrefs

Column 1 is A005773(n+1)

Sequence in context: A309161 A144293 A174098 * A305314 A154694 A154696

Adjacent sequences: A183416 A183417 A183418 * A183420 A183421 A183422

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2011

Status

approved