A202486 Number of (n+2)X4 binary arrays avoiding patterns 000 and 010 in rows, columns and nw-to-se diagonals

324, 1296, 6084, 28561, 132496, 614656, 2822400, 12960000, 59907600, 276922881, 1276847289, 5887339441, 27163984225, 125333700625, 578223368100, 2667616624656, 12306835772100, 56776601750625, 261938687630400

Offset

1,1

Comments

Column 2 of A202492

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -10*a(n-2) +41*a(n-3) -30*a(n-4) +78*a(n-5) +57*a(n-6) -411*a(n-7) -57*a(n-8) +1050*a(n-9) -117*a(n-10) -1458*a(n-11) +834*a(n-12) -1137*a(n-13) +453*a(n-14) -825*a(n-15) +342*a(n-16) -513*a(n-17) +210*a(n-18) -366*a(n-19) +87*a(n-20) +87*a(n-21) -51*a(n-22) -6*a(n-23) +13*a(n-24) -2*a(n-25) -2*a(n-26) +a(n-27)

Example

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

Crossrefs

Sequence in context: A287634 A329613 A202094 * A305070 A229538 A250437

Adjacent sequences: A202483 A202484 A202485 * A202487 A202488 A202489

Keyword

nonn

Author

R. H. Hardin Dec 20 2011

Status

approved