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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
7
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 30 2011
STATUS
approved