A250574 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with nondecreasing maximum of every three consecutive values in every row and column.
512, 3375, 3375, 21952, 39852, 21952, 140608, 463006, 463006, 140608, 884736, 5281190, 9583440, 5281190, 884736, 5545233, 59025322, 194160522, 194160522, 59025322, 5545233, 34645976, 656805747, 3844025984, 6967413024, 3844025984
Offset: 1
Examples
Some solutions for n=2 k=4 ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0 ..1..0..1..0..1..0....0..1..1..0..1..0....1..0..0..1..1..1....0..0..0..1..1..0 ..1..0..1..1..1..0....0..0..0..1..0..0....0..0..1..0..0..1....0..0..0..0..0..0 ..0..1..1..0..0..1....1..1..1..0..0..1....1..0..0..1..0..1....1..1..0..1..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..126
Crossrefs
Column 1 is A189155(n+2)
Formula
Empirical for column k:
k=1: [linear recurrence of order 19]
k=2: [order 49]
Comments