A188871 Number of nX6 binary arrays without the pattern 0 0 0 antidiagonally or horizontally

44, 1936, 65656, 2368612, 84965120, 3043939392, 109002398784, 3903192037184, 139764515932928, 5004636736643072, 179204127483438080, 6416872410001742848, 229772891432953663488, 8227619010998404489216, 294611405650426832932864

Offset

1,1

Comments

Column 6 of A188874

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 44*a(n-1) -288*a(n-2) -96*a(n-3) -5152*a(n-4) +62016*a(n-5) +22400*a(n-6) -907712*a(n-7) +671744*a(n-8) +4370432*a(n-9) -5936128*a(n-10) -3608576*a(n-11) +6844416*a(n-12) +393216*a(n-13) -2097152*a(n-14) +262144*a(n-15) for n>17

Example

Some solutions for 3X6
..0..1..1..1..1..1....1..0..1..1..0..0....1..1..1..1..1..1....1..0..1..0..1..0
..0..1..1..1..1..1....0..1..1..1..1..1....1..1..0..0..1..0....0..0..1..0..1..1
..0..1..1..1..1..0....0..1..0..1..1..0....0..1..1..1..1..0....0..1..1..1..0..0

Crossrefs

Sequence in context: A207086 A207180 A188751 * A009988 A041925 A094506

Adjacent sequences: A188868 A188869 A188870 * A188872 A188873 A188874

Keyword

nonn

Author

R. H. Hardin Apr 12 2011

Status

approved