A207739 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 0 vertically

25, 625, 5625, 60025, 731025, 9259849, 120275089, 1573946929, 20694836449, 272495484121, 3591309255625, 47344514140225, 624257470671025, 8231565447600625, 108546609662015625, 1431380241299659849

Offset

1,1

Comments

Column 6 of A207741

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 18*a(n-1) -15*a(n-2) -886*a(n-3) +2660*a(n-4) +11504*a(n-5) -45589*a(n-6) -59632*a(n-7) +324536*a(n-8) +106556*a(n-9) -1182417*a(n-10) +142992*a(n-11) +2369549*a(n-12) -855890*a(n-13) -2672392*a(n-14) +1338432*a(n-15) +1706837*a(n-16) -1018340*a(n-17) -603507*a(n-18) +418566*a(n-19) +106712*a(n-20) -93358*a(n-21) -5923*a(n-22) +10536*a(n-23) -500*a(n-24) -506*a(n-25) +51*a(n-26) +8*a(n-27) -a(n-28) for n>29

Example

Some solutions for n=4
..0..0..1..1..1..0....0..1..1..1..0..0....0..1..1..0..1..1....1..0..1..1..0..1
..0..0..1..1..0..1....1..0..1..1..1..1....0..1..1..1..1..0....1..1..1..1..1..1
..0..0..1..1..1..0....1..1..0..0..1..1....0..0..1..1..0..1....0..1..1..1..1..0
..0..0..1..1..1..1....1..1..1..1..0..0....0..1..1..1..1..0....1..0..0..1..1..1

Crossrefs

Sequence in context: A208037 A207856 A207424 * A288854 A208081 A207209

Adjacent sequences: A207736 A207737 A207738 * A207740 A207741 A207742

Keyword

nonn

Author

R. H. Hardin Feb 19 2012

Status

approved