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A184129 T(n,k)=Number of nXk 0..3 arrays with rows and columns in nondecreasing order 8
4, 10, 10, 20, 86, 20, 35, 561, 561, 35, 56, 2861, 14178, 2861, 56, 84, 12068, 276427, 276427, 12068, 84, 120, 43947, 4249486, 21907055, 4249486, 43947, 120, 165, 142376, 53817407, 1361812470, 1361812470, 53817407, 142376, 165, 220, 419213, 581588614 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Empirical: T(n,k) for elements in 0..z is a polynomial in n of degree ((z+1)^k)-1 for fixed k
Table starts
...4......10...........20................35......................56
..10......86..........561..............2861...................12068
..20.....561........14178............276427.................4249486
..35....2861.......276427..........21907055..............1361812470
..56...12068......4249486........1361812470............348053502590
..84...43947.....53817407.......68564445616..........71759424776253
.120..142376....581588614.....2895890669208.......12323643023399737
.165..419213...5503143135...105444472863183.....1812407940171867666
.220.1139569..46473256070..3378291908588468...233154749874813919293
.286.2894178.355407459056.96731087997530019.26665385106037737856103
LINKS
EXAMPLE
Some solutions for 4X3
..0..0..2....0..0..3....0..2..2....0..0..3....0..0..3....0..0..2....0..0..2
..0..3..2....0..1..1....1..1..3....0..1..0....0..3..2....1..2..2....0..3..3
..1..0..3....1..3..1....3..0..1....0..1..3....3..0..3....2..2..1....2..1..2
..3..0..0....1..3..3....3..0..3....2..0..0....3..2..0....3..0..3....2..3..0
CROSSREFS
Column 1 is A000292(n+1)
Diagonal is A162086
Sequence in context: A310336 A227060 A278727 * A202581 A201729 A310337
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 09 2011
STATUS
approved

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Last modified July 15 07:46 EDT 2024. Contains 374324 sequences. (Running on oeis4.)