A230986 Number of white square subarrays of (n+1)X(5+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero

5, 15, 59, 191, 685, 2379, 8357, 29493, 103842, 366761, 1295168, 4575191, 16168709, 57141283, 201968011, 713913289, 2523592759, 8920910386, 31535904373, 111482428201, 394104351253, 1393214372302, 4925225989915, 17411465057517

Offset

1,1

Comments

Column 5 of A230989

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +14*a(n-2) -32*a(n-3) -104*a(n-4) +154*a(n-5) +508*a(n-6) -484*a(n-7) -1726*a(n-8) +1093*a(n-9) +4145*a(n-10) -1749*a(n-11) -7333*a(n-12) +2022*a(n-13) +9991*a(n-14) -1827*a(n-15) -10876*a(n-16) +1558*a(n-17) +9630*a(n-18) -1406*a(n-19) -6891*a(n-20) +1141*a(n-21) +3895*a(n-22) -694*a(n-23) -1685*a(n-24) +290*a(n-25) +536*a(n-26) -79*a(n-27) -118*a(n-28) +13*a(n-29) +16*a(n-30) -a(n-31) -a(n-32)

Example

Some solutions for n=6
..0..x..0..x..0..x....0..x..0..x..1..x....0..x..0..x..0..x....0..x..1..x..1..x
..x..1..x..0..x..1....x..1..x..0..x..1....x..1..x..1..x..1....x..1..x..0..x..1
..0..x..1..x..1..x....1..x..1..x..0..x....0..x..0..x..0..x....0..x..0..x..0..x
..x..0..x..0..x..0....x..0..x..1..x..1....x..1..x..1..x..0....x..1..x..1..x..0
..1..x..1..x..1..x....1..x..1..x..0..x....1..x..0..x..1..x....1..x..1..x..1..x
..x..0..x..1..x..1....x..1..x..0..x..1....x..0..x..1..x..0....x..0..x..0..x..0
..1..x..0..x..0..x....0..x..0..x..1..x....1..x..0..x..0..x....1..x..1..x..1..x

Crossrefs

Sequence in context: A149591 A149592 A149593 * A149594 A149595 A149596

Adjacent sequences: A230983 A230984 A230985 * A230987 A230988 A230989

Keyword

nonn

Author

R. H. Hardin, Nov 02 2013

Status

approved