A205358 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order

3074, 51458, 904514, 16820450, 323378690, 6379775618, 128108142146, 2604800794754, 53418265989122, 1101901781085314, 22819666758241730, 473834483326150658, 9856290649063834562, 205264242201999716930

Offset

1,1

Comments

Column 5 of A205361

Links

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

Formula

Empirical: a(n) = 72*a(n-1) -2111*a(n-2) +31963*a(n-3) -244721*a(n-4) +393930*a(n-5) +9129842*a(n-6) -78749065*a(n-7) +200421324*a(n-8) +702551851*a(n-9) -6318391361*a(n-10) +15148890613*a(n-11) +7356872888*a(n-12) -116533400840*a(n-13) +228856999872*a(n-14) -38635874496*a(n-15) -523003405824*a(n-16) +885155081472*a(n-17) -617973276672*a(n-18) +165112971264*a(n-19)

Example

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

Crossrefs

Sequence in context: A334256 A262459 A205623 * A045083 A186470 A322607

Adjacent sequences: A205355 A205356 A205357 * A205359 A205360 A205361

Keyword

nonn

Author

R. H. Hardin Jan 26 2012

Status

approved