A252859 Number of (n+2)X(6+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

11286, 4986, 6795, 13590, 28728, 60588, 126306, 266391, 562293, 1185867, 2491002, 5266044, 11098008, 23380335, 49262301, 103991625, 219100158, 461718972, 973617264, 2053180017, 4326686289, 9121144149, 19232567028, 40543286472

Offset

1,1

Comments

Column 6 of A252861

Links

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

Formula

Empirical: a(n) = -a(n-1) +4*a(n-3) +16*a(n-4) +16*a(n-5) +9*a(n-6) -11*a(n-7) -58*a(n-8) -64*a(n-9) -14*a(n-10) +79*a(n-11) +143*a(n-12) +104*a(n-13) +13*a(n-14) -101*a(n-15) -124*a(n-16) -74*a(n-17) +2*a(n-18) +34*a(n-19) +28*a(n-20) +8*a(n-21) -4*a(n-22) -4*a(n-23) for n>26

Example

Some solutions for n=4
..0..1..0..1..1..2..1..2....0..0..1..1..2..2..0..0....0..0..1..0..1..0..0..2
..2..0..0..2..2..1..1..0....0..1..0..0..2..0..2..2....1..0..0..2..2..0..0..1
..2..1..2..1..2..2..0..2....2..0..0..1..1..2..2..0....1..2..1..2..1..2..1..2
..1..1..2..2..1..1..0..0....2..1..1..0..1..0..0..2....2..2..1..1..2..2..1..1
..1..2..1..2..1..2..1..2....0..0..1..1..2..2..0..2....1..1..2..1..2..1..2..2
..0..2..2..0..0..1..1..2....0..1..0..0..2..2..1..1....2..1..1..0..0..2..2..1

Crossrefs

Sequence in context: A195654 A195649 A110375 * A177216 A112441 A104017

Adjacent sequences: A252856 A252857 A252858 * A252860 A252861 A252862

Keyword

nonn

Author

R. H. Hardin, Dec 23 2014

Status

approved