A201384 T(n,k)=Number of nXk 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

2, 1, 1, 2, 3, 2, 1, 4, 4, 1, 2, 7, 19, 7, 2, 1, 9, 27, 27, 9, 1, 2, 13, 115, 121, 115, 13, 2, 1, 16, 122, 483, 483, 122, 16, 1, 2, 21, 467, 1751, 7148, 1751, 467, 21, 2, 1, 25, 433, 5694, 24779, 24779, 5694, 433, 25, 1, 2, 31, 1461, 16870, 295813, 326650, 295813, 16870

Offset: 1

Author

R. H. Hardin Nov 30 2011

Keywords

• nonn
• tabl

Comments

Table starts

.2..1....2......1........2..........1............2..............1

.1..3....4......7........9.........13...........16.............21

.2..4...19.....27......115........122..........467............433

.1..7...27....121......483.......1751.........5694..........16870

.2..9..115....483.....7148......24779.......295813.........804538

.1.13..122...1751....24779.....326650......3826202.......39589830

.2.16..467...5694...295813....3826202....175765510.....1819250859

.1.21..433..16870...804538...39589830...1819250859....74872992399

.2.25.1461..46014..7711613..364013320..65629320845..2730227923892

.1.31.1208.116842.17135660.3005372641.534428405524.88478723671041

Examples

			Some solutions for n=4 k=7
..0..0..0..0..1..1..1....0..0..0..1..1..1..1....0..0..0..0..0..1..1
..0..0..0..1..1..1..1....0..0..1..0..0..0..1....0..0..0..1..1..0..1
..0..1..1..1..0..0..0....1..1..0..0..0..0..1....0..0..1..1..1..1..0
..1..1..1..1..0..0..0....1..1..1..0..0..1..1....0..1..0..1..1..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..219

Crossrefs

Column 2 is A004652(n+1)