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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 24 21:49 EST 2022. Contains 350565 sequences. (Running on oeis4.)