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

1,1

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

Links

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

Example

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

Crossrefs

Column 2 is A004652(n+1)

Sequence in context: A280860 A208993 A328029 * A238348 A143066 A338198

Adjacent sequences: A201381 A201382 A201383 * A201385 A201386 A201387

Keyword

nonn,tabl

Author

R. H. Hardin Nov 30 2011

Status

approved