A206984 Number of nX5 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal.

16, 256, 420, 1866, 7500, 27762, 106110, 413526, 1583234, 6065840, 23380612, 89904320, 345225042, 1327292244, 5103379268, 19613888918, 75392090306, 289821707064, 1114041030214, 4282214237068, 16460713051026, 63274053473750

Offset: 1

Author

R. H. Hardin Feb 14 2012

Keywords

• nonn

Comments

Column 5 of A206987

Examples

			Some solutions for n=4
..0..0..1..1..1....1..1..1..0..0....0..0..0..1..1....0..0..1..1..0
..1..1..1..1..0....1..1..0..0..0....1..0..0..0..0....1..1..1..1..0
..1..1..1..1..0....1..1..0..0..0....1..0..0..0..0....1..1..1..1..0
..1..1..1..0..0....1..0..0..0..0....1..0..0..1..1....0..1..1..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +17*a(n-3) -27*a(n-4) +2*a(n-5) +47*a(n-6) -201*a(n-7) -179*a(n-8) +23*a(n-9) +255*a(n-10) -331*a(n-11) -206*a(n-12) +691*a(n-13) +704*a(n-14) -353*a(n-15) -775*a(n-16) +88*a(n-17) -15*a(n-18) +86*a(n-19) -192*a(n-20) +15*a(n-21) +64*a(n-22) +40*a(n-23) +8*a(n-24) -10*a(n-25) for n>27