OFFSET
1,1
COMMENTS
Table starts
....2...4...8...16...32....64...128....256.....512....1024.....2048.....4096
....4...9..25...64..169...441..1156...3025....7921...20736....54289...142129
....8..16..48..144..432..1296..3888..11664...34992..104976...314928...944784
...16..25..81..256..841..2704..8836..28561...93025..301401...980100..3179089
...32..36.120..400.1360..4624.15776..53824..183744..627264..2141568..7311616
...64..49.169..576.2025..7056.24964..87616..310249.1092025..3865156.13623481
..128..64.224..784.2800.10000.36000.129600..468000.1690000..6110000.22090000
..256..81.289.1024.3721.13456.49284.179776..660969.2421136..8916196.32729841
..512.100.360.1296.4752.17424.64416.238144..884256.3283344.12220128.45481536
.1024.121.441.1600.5929.21904.81796.304704.1142761.4276624.16080100.60341824
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..1627
FORMULA
Empirical: a(n,1) = 2^n
Empirical: a(n,2) = n^2 + 2*n + 1
Empirical: a(n,3) = 2*a(n-1,3) - 2*a(n-3,3) + a(n-4,3)
Empirical: a(n,4) = 16*n^2
Empirical: a(n,5) = 2*a(n-1,5) - 2*a(n-3,5) + a(n-4,5) for n>5
Empirical: a(n,6) = 256*n^2 - 384*n + 144 for n>2
Empirical: a(n,7) = 2*a(n-1,7) - 2*a(n-3,7) + a(n-4,7) for n>7
Empirical: a(n,8) = 4096*n^2 - 11264*n + 7744 for n>4
EXAMPLE
Some solutions for 5X3
..1..1..1....1..1..1....1..1..1....1..1..1....1..1..1....0..1..0....1..1..1
..1..1..1....0..1..1....1..0..1....1..1..1....1..1..1....1..0..1....1..1..1
..1..1..1....0..0..1....0..1..0....1..1..1....0..1..0....0..1..0....0..1..1
..1..1..1....0..0..0....0..0..0....0..0..0....0..0..0....1..0..1....1..0..1
..1..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 11 2011
STATUS
approved