A188872 Number of nX7 binary arrays without the pattern 0 0 0 antidiagonally or horizontally

81, 6561, 385700, 24609576, 1558668181, 98523889293, 6231989402196, 394199392835388, 24934537275160193, 1577208767277367193, 99764749430808100292, 6310518350640206463960, 399165473341720336437009

Offset

1,1

Comments

Column 7 of A188874

Links

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

Formula

Empirical: a(n) = 81*a(n-1) -1148*a(n-2) +2556*a(n-3) -87366*a(n-4) +1804002*a(n-5) -2207080*a(n-6) -70867388*a(n-7) +32972423*a(n-8) +2230665197*a(n-9) -4086729504*a(n-10) -20624987348*a(n-11) +50383243988*a(n-12) +69637220740*a(n-13) -201496189584*a(n-14) -120647252112*a(n-15) +316308674064*a(n-16) +285744226640*a(n-17) -401376039168*a(n-18) -227877410240*a(n-19) +256361762048*a(n-20) +32746840064*a(n-21) -47500075008*a(n-22) +1588264960*a(n-23) +2488795136*a(n-24) -264241152*a(n-25) for n>28

Example

Some solutions for 3X7
..0..1..1..0..1..0..0....0..1..1..0..0..1..1....0..0..1..0..1..0..0
..1..1..1..1..1..0..0....1..0..1..1..0..1..0....0..1..1..0..0..1..0
..1..1..0..0..1..1..1....1..1..1..1..1..1..0....0..0..1..1..0..1..1

Crossrefs

Sequence in context: A207181 A188752 A223572 * A217997 A089683 A183506

Adjacent sequences: A188869 A188870 A188871 * A188873 A188874 A188875

Keyword

nonn

Author

R. H. Hardin Apr 12 2011

Status

approved