OFFSET
1,3
COMMENTS
Table starts
....1.....1.......4........10..........31............91.............274
....4....11.....111.......670........4994.........34041..........241021
...25...121....3502.....44900......825105......12777541.......214404272
..172..1331..110985...3008980...136579852....4797577911....191154162535
.1201.14641.3517864.201647240.22615881851.1801391900581.170522196557894
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..160
FORMULA
Empirical for column k:
k=1: a(n) = 8*a(n-1) -7*a(n-2)
k=2: a(n) = 11*a(n-1)
k=3: a(n) = 35*a(n-1) -107*a(n-2) +73*a(n-3)
k=4: a(n) = 68*a(n-1) -66*a(n-2)
k=5: a(n) = 200*a(n-1) -5769*a(n-2) +11744*a(n-3) +43057*a(n-4) -89856*a(n-5) +40625*a(n-6)
k=6: a(n) = 416*a(n-1) -15454*a(n-2) +89758*a(n-3) +90848*a(n-4) -438718*a(n-5) +62801*a(n-6)
k=7: (order 15)
Empirical for row n:
n=1: a(k)=3*a(k-1)+a(k-2)-3*a(k-3)
n=2: a(k)=4*a(k-1)+22*a(k-2)-4*a(k-3)-21*a(k-4)
n=3: a(k)=11*a(k-1)+123*a(k-2)-509*a(k-3)-1615*a(k-4)+7137*a(k-5)-19*a(k-6)-20571*a(k-7)+13176*a(k-8)+13932*a(k-9)-11664*a(k-10)
n=4: (order 26)
n=5: (order 71)
EXAMPLE
Some solutions for n=4 k=1
..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..1..0....1..2....2..3....1..0....1..0....1..0....1..2....1..0....1..0....1..2
..0..1....0..1....3..1....0..1....2..3....2..1....3..0....0..2....2..3....3..1
..1..2....1..0....1..0....1..0....3..2....3..0....0..1....1..3....3..1....0..2
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jul 04 2012
STATUS
approved