A213962 T(n,k)=Number of n X n 0..k matrices with row and column i=1..n having sum <= i*k

2, 3, 10, 4, 42, 138, 5, 120, 3186, 5314, 6, 275, 32060, 1299735, 575122, 7, 546, 199735, 74323976, 2860343784, 176041978, 8, 980, 909900, 1839121115, 1494988224948, 34107691901433, 153143689594, 9, 1632, 3323712, 26346319032, 214090209950060

Offset

1,1

Comments

Table starts

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

.....10.........42...........120.............275...............546

....138.......3186.........32060..........199735............909900

...5314....1299735......74323976......1839121115.......26346319032

.575122.2860343784.1494988224948.214090209950060.13186531254708756

Links

R. H. Hardin, Table of n, a(n) for n = 1..53

Formula

Empirical: rows n=1,2,3,4 are polynomials of degree 1,4,9,16

Example

Some solutions for n=4 k=4
..0..1..1..0....4..0..0..0....1..3..0..0....3..0..1..0....4..0..0..0
..2..4..1..1....0..4..4..0....0..4..2..1....1..2..0..3....0..2..2..3
..0..1..2..4....0..3..4..2....0..1..0..1....0..3..1..2....0..0..1..2
..0..0..1..3....0..0..1..1....1..0..4..0....0..2..1..0....0..0..3..0

Crossrefs

Row 2 is A108678

Sequence in context: A329804 A274299 A119023 * A216937 A351629 A230625

Adjacent sequences: A213959 A213960 A213961 * A213963 A213964 A213965

Keyword

nonn,tabl

Author

R. H. Hardin Jun 28 2012

Status

approved