OFFSET
1,1
COMMENTS
Table starts
..2...3....4......5........6..........7............8............9
..3...7...14.....25.......41.........63...........92..........129
..4..13...39....106......259........574.........1170.........2223
..5..22...96....404.....1556.......5365........16585........46463
..6..34..212...1391.....8764......49894.......251381......1122721
..7..50..433...4383....45907.....448649......3889553.....29520031
..8..70..826..12758...223075....3825307.....59155748....798834778
..9..95.1493..34611..1005991...30555624....861030491..21325003746
.10.125.2575..88206..4224203..227542455..11809616668.546283341439
.11.161.4270.212609.16588684.1579153474.151566391972
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..145
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) -a(n-2)
k=2: a(n) = 3*a(n-1) -2*a(n-2) -2*a(n-3) +3*a(n-4) -a(n-5)
k=3: [order 12] Empirical for row n:
n=1: a(n) = n + 1
n=2: a(n) = (1/6)*n^3 + (1/2)*n^2 + (4/3)*n + 1
n=3: [polynomial of degree 6]
n=4: [polynomial of degree 11]
n=5: [polynomial of degree 19]
n=6: [polynomial of degree 33]
n=7: [polynomial of degree 57]
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..0....0..0..1..1....0..0..0..1....0..0..1..1....0..0..0..1
..0..0..0..1....0..0..1..1....0..0..1..0....0..1..0..1....0..1..1..1
..0..0..1..1....1..1..0..1....0..1..1..1....0..1..1..1....0..1..1..1
..0..1..0..1....1..1..1..0....1..1..0..0....1..1..1..0....1..0..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 29 2015
STATUS
approved