OFFSET
1,1
COMMENTS
Table starts
..2....4.....7.....11.......16.........22..........29............37
..4...12....29.....62......122........225.........393...........655
..7...29....99....302......842.......2177........5281.........12128
.11...62...302...1339.....5517......21335.......77706........267130
.16..122...842...5517....34862.....210279.....1198995.......6435794
.22..225..2177..21335...210279....2016091....18423194.....158636376
.29..393..5281..77706..1198995...18423194...272856711....3820696108
.37..655.12128.267130..6435794..158636376..3820696108...87559140736
.46.1048.26548.868999.32506602.1281809749.50204897327.1887451154541
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..144
FORMULA
Empirical for column k:
k=1: a(n) = (1/2)*n^2 + (1/2)*n + 1
k=2: a(n) = (1/120)*n^5 + (1/24)*n^4 + (5/24)*n^3 + (35/24)*n^2 + (77/60)*n + 1
k=3: [polynomial of degree 11]
k=4: [polynomial of degree 23]
k=5: [polynomial of degree 47] for n>3
EXAMPLE
Some solutions for n=4 k=4
..1..0..1..0....0..0..0..0....1..0..1..0....0..0..0..0....0..0..0..0
..0..0..0..1....0..1..1..0....1..0..0..1....0..1..0..0....1..0..0..0
..1..0..0..0....1..1..0..0....0..0..0..0....1..1..0..0....1..0..0..0
..0..0..1..1....1..0..0..0....0..0..0..0....0..0..1..0....0..1..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jun 30 2013
STATUS
approved