A188742 Number of nX4 binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally

16, 256, 1723, 17286, 176002, 1605680, 15398676, 148041805, 1404107414, 13398153644, 127892153741, 1218764127847, 11622887616476, 110848330389832, 1056953079327533, 10079078798340060, 96114455989370660, 916528036067337866

Offset

1,1

Comments

Column 4 of A188747

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +33*a(n-2) +225*a(n-3) -143*a(n-4) -1642*a(n-5) -3987*a(n-6) +11756*a(n-7) -3429*a(n-8) -9954*a(n-9) -12602*a(n-10) -51648*a(n-11) +366983*a(n-12) -243624*a(n-13) +497214*a(n-14) -600651*a(n-15) -869301*a(n-16) +1075547*a(n-17) -1622615*a(n-18) +2080991*a(n-19) -1707023*a(n-20) +2030078*a(n-21) -413613*a(n-22) -765573*a(n-23) -219698*a(n-24) +426694*a(n-25) +424840*a(n-26) -234199*a(n-27) -217206*a(n-28) -17093*a(n-29) +91431*a(n-30) +8022*a(n-31) -12640*a(n-32) -5538*a(n-33) +2116*a(n-34) +760*a(n-35) -216*a(n-36) -16*a(n-37)

Example

Some solutions for 3X4
..0..1..0..0....1..0..0..1....1..1..0..1....0..0..0..1....0..0..0..1
..1..0..0..0....0..0..1..1....1..0..0..1....1..1..1..0....0..1..1..0
..0..0..1..0....0..0..0..0....0..0..1..0....0..0..0..0....0..0..0..1

Crossrefs

Sequence in context: A223671 A189619 A189691 * A296779 A188994 A208075

Adjacent sequences: A188739 A188740 A188741 * A188743 A188744 A188745

Keyword

nonn

Author

R. H. Hardin Apr 09 2011

Status

approved