A189112 Number of 4Xn binary arrays without the pattern 1 1 0 diagonally or antidiagonally

16, 256, 2500, 23716, 244000, 2515396, 25632120, 261145600, 2666353032, 27225000000, 277880546592, 2836273647376, 28951429945824, 295523742166416, 3016539755776512, 30791138713921600, 314299439838498016

Offset

1,1

Comments

Row 4 of A189111

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -220*a(n-3) +820*a(n-4) -5760*a(n-5) -560*a(n-6) +111304*a(n-7) -197768*a(n-8) +312720*a(n-9) +450080*a(n-10) -10617648*a(n-11) +14926800*a(n-12) +15512896*a(n-13) -50427008*a(n-14) +271940704*a(n-15) -344384528*a(n-16) -676144256*a(n-17) +1355238144*a(n-18) -2706414720*a(n-19) +3007752704*a(n-20) +7913633280*a(n-21) -13918289408*a(n-22) +12396161024*a(n-23) -10532593664*a(n-24) -40236879872*a(n-25) +65936154624*a(n-26) -27722080256*a(n-27) +9369374720*a(n-28) +101961629696*a(n-29) -156349841408*a(n-30) +29540483072*a(n-31) +24945410048*a(n-32) -134701776896*a(n-33) +188317827072*a(n-34) -12671909888*a(n-35) -60020359168*a(n-36) +92836200448*a(n-37) -110808793088*a(n-38) +931135488*a(n-39) +43889721344*a(n-40) -32333889536*a(n-41) +28781314048*a(n-42) +356515840*a(n-43) -12188647424*a(n-44) +5083496448*a(n-45) -2315255808*a(n-46) +939524096*a(n-48) -268435456*a(n-49)

Example

Some solutions for 4X3
..0..1..0....1..0..1....1..1..0....1..1..1....1..0..1....1..0..0....0..0..0
..1..0..1....1..0..1....0..0..0....0..1..1....0..1..1....1..0..0....0..1..0
..1..0..0....0..0..0....1..1..1....1..0..1....1..0..1....0..1..1....1..0..1
..1..1..0....1..1..0....0..1..1....1..1..1....1..1..0....0..0..1....0..1..1

Crossrefs

Sequence in context: A223756 A188905 A189106 * A181215 A223666 A223617

Adjacent sequences: A189109 A189110 A189111 * A189113 A189114 A189115

Keyword

nonn

Author

R. H. Hardin Apr 16 2011

Status

approved