A269334 -id:A269334 - cp's OEIS frontend

A269646 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and equal-up in every column.

1, 1, 2, 1, 6, 6, 1, 14, 74, 24, 1, 34, 574, 1880, 120, 1, 92, 4564, 68876, 80316, 720, 1, 258, 41526, 2316638, 18375702, 5141864, 5040, 1, 722, 419516, 94747953, 3291772332, 9213264418, 458608016, 40320, 1, 2022, 4351224, 4581555620

Offset: 1

R. H. Hardin, Mar 02 2016

Table starts
......1...........1.............1..............1............1..........1
......2...........6............14.............34...........92........258
......6..........74...........574...........4564........41526.....419516
.....24........1880.........68876........2316638.....94747953.4581555620
....120.......80316......18375702.....3291772332.740782304804
....720.....5141864....9213264418.10673009972228
...5040...458608016.7725775442284
..40320.54247835568
.362880

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

R. H. Hardin, Table of n, a(n) for n = 1..49

Column 1 is A000142.
Column 2 is A269334.
Row 2 is A269506.

cp's OEIS Frontend

A269646 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and equal-up in every column.

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