A162088 -id:A162088 - cp's OEIS frontend

A229794 T(n,k)=Number of n X n 0..k arrays with rows and columns in lexicographically nondecreasing order.

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

Offset: 1

R. H. Hardin, Sep 29 2013

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

			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

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

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

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]

cp's OEIS Frontend

A229794 T(n,k)=Number of n X n 0..k arrays with rows and columns in lexicographically nondecreasing order.

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