A202431 Number of (n+2)X6 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals

4680, 50310, 463632, 4502836, 42948906, 412198592, 3947786700, 37835503602, 362534238144, 3473997901920, 33288928492898, 318987489880800, 3056653256422038, 29289988273883896, 280667437153157392

Offset

1,1

Comments

Column 4 of A202435

Links

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

Formula

Empirical: a(n) = a(n-1) +64*a(n-2) +213*a(n-3) -199*a(n-4) -1711*a(n-5) +255*a(n-6) +8022*a(n-7) -2711*a(n-8) -25993*a(n-9) +26163*a(n-10) +41611*a(n-11) -104189*a(n-12) +72169*a(n-13) +11753*a(n-14) -44090*a(n-15) +15201*a(n-16) +10399*a(n-17) -6613*a(n-18) -2087*a(n-19) +1405*a(n-20) +609*a(n-21) -113*a(n-22) -132*a(n-23) -28*a(n-24) +2*a(n-25) +a(n-26)

Example

Some solutions for n=2
..1..0..1..1..1..0....1..1..0..1..1..0....0..1..1..1..1..1....0..1..1..0..1..1
..1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..0..1....1..1..0..1..1..1
..1..1..1..0..1..1....1..1..0..1..1..1....1..1..1..0..1..0....1..0..1..1..0..0
..0..1..1..0..1..0....1..1..0..1..1..0....1..0..1..1..1..1....0..1..1..0..1..0

Crossrefs

Sequence in context: A252127 A188364 A236014 * A066731 A230487 A230483

Adjacent sequences: A202428 A202429 A202430 * A202432 A202433 A202434

Keyword

nonn

Author

R. H. Hardin Dec 19 2011

Status

approved