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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

R. H. Hardin, Table of n, a(n) for n = 1..127

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

Adjacent sequences: A184126 A184127 A184128 * A184130 A184131 A184132

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 09 2011

STATUS

approved

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Last modified November 29 09:49 EST 2022. Contains 358423 sequences. (Running on oeis4.)