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A229794 T(n,k)=Number of n X n 0..k arrays with rows and columns in lexicographically nondecreasing order 7
2, 3, 7, 4, 29, 45, 5, 86, 1169, 650, 6, 205, 14178, 250841, 24520, 7, 421, 102251, 21907055, 318174607, 2625117, 8, 777, 520017, 733861607, 348053502590, 2533164987353, 836488618, 9, 1324, 2066505, 13111482259, 83399309397669 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....2.........3............4..............5................6

.....7........29...........86............205..............421

....45......1169........14178.........102251...........520017

...650....250841.....21907055......733861607......13111482259

.24520.318174607.348053502590.83399309397669.7470491620551006

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..63

FORMULA

Empirical for row n:

n=1: a(n) = 1*n + 1

n=2: a(n) = (1/3)*n^4 + (7/6)*n^3 + (13/6)*n^2 + (7/3)*n + 1

n=3: [polynomial of degree 9]

n=4: [polynomial of degree 16]

EXAMPLE

Some solutions for n=2 k=4

..1..4....1..3....1..4....0..3....1..4....2..4....1..4....0..3....0..1....0..3

..2..3....3..2....4..0....1..1....2..0....4..2....3..2....2..1....0..1....4..4

CROSSREFS

Column 1 is A089006

Column 2 is A162085

Column 3 is A162086

Column 4 is A162087

Column 5 is A162088

Column 6 is A162089

Column 7 is A162090

Sequence in context: A320948 A086885 A324598 * A331318 A082734 A332526

Adjacent sequences:  A229791 A229792 A229793 * A229795 A229796 A229797

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 29 2013

STATUS

approved

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Last modified April 10 18:49 EDT 2021. Contains 342853 sequences. (Running on oeis4.)