A188853 Number of 4Xn binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally.

12, 144, 958, 5711, 33037, 185351, 1020454, 5541360, 29819624, 159467459, 849225129, 4509414280, 23898381925, 126482308739, 668788464753, 3534016278284, 18666169109994, 98561504556257, 520314362243096

Offset: 1

Author

R. H. Hardin Apr 12 2011

Keywords

• nonn

Comments

Row 4 of A188851

Examples

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

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +15*a(n-2) -217*a(n-3) -65*a(n-4) +2637*a(n-5) +75*a(n-6) -18789*a(n-7) -1526*a(n-8) +86316*a(n-9) +19704*a(n-10) -266659*a(n-11) -102052*a(n-12) +565680*a(n-13) +288503*a(n-14) -834249*a(n-15) -499808*a(n-16) +863607*a(n-17) +561084*a(n-18) -631388*a(n-19) -421898*a(n-20) +323752*a(n-21) +217120*a(n-22) -111753*a(n-23) -77769*a(n-24) +22421*a(n-25) +19774*a(n-26) -747*a(n-27) -3667*a(n-28) -883*a(n-29) +501*a(n-30) +234*a(n-31) -46*a(n-32) -25*a(n-33) +2*a(n-34) +a(n-35) for n>38