OFFSET
1,1
COMMENTS
Table starts
....2.....4.......7........13..........23............41..............72
....4....13......35.......103.........278...........763............2037
....8....41.....174.......805........3331.........14080...........57287
...16...126.....849......6009.......37987........244397.........1506570
...32...379....4083.....43512......421450.......4097199........38241770
...64..1121...19416....308112.....4583103......66954420.......946498448
..128..3272...91491...2144780....49084071....1073436321.....22995344760
..256..9449..427863..14730784...519385102...16957258387....550731432312
..512.27049.1988142.100087792..5442503771..264744926212..13040291111728
.1024.76866.9187653.674045392.56571775611.4093941136805.305911647779632
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..799
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 6*a(n-1) -11*a(n-2) +6*a(n-3) -a(n-4)
k=3: a(n) = 10*a(n-1) -31*a(n-2) +30*a(n-3) -9*a(n-4)
k=4: a(n) = 16*a(n-1) -88*a(n-2) +200*a(n-3) -208*a(n-4) +96*a(n-5) -16*a(n-6) for n>7
k=5: [order 8] for n>9
k=6: [order 10] for n>12
k=7: [order 14] for n>16
Empirical for row n:
n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4)
n=2: a(n) = 2*a(n-1) +5*a(n-2) -4*a(n-3) -11*a(n-4) -6*a(n-5) -a(n-6)
n=3: [order 9]
n=4: [order 16]
n=5: [order 26]
n=6: [order 42]
n=7: [order 68]
EXAMPLE
Some solutions for n=4 k=4
..1..1..0..1. .1..0..0..1. .0..0..0..0. .0..0..1..0. .0..0..0..1
..0..0..0..1. .1..1..0..1. .0..1..0..0. .1..0..1..0. .0..0..0..1
..0..1..0..1. .0..0..0..0. .0..1..0..1. .1..0..0..0. .0..0..1..0
..0..0..0..0. .1..0..1..0. .0..0..0..0. .1..0..1..0. .1..0..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 17 2016
STATUS
approved