A231199 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order

9, 67, 67, 538, 1413, 538, 4264, 31665, 31665, 4264, 33868, 704428, 2001156, 704428, 33868, 268936, 15698874, 125862699, 125862699, 15698874, 268936, 2135636, 349736292, 7925306181, 22370911245, 7925306181, 349736292, 2135636, 16959144

Offset

1,1

Comments

Table starts

.......9.........67............538...............4264.................33868

......67.......1413..........31665.............704428..............15698874

.....538......31665........2001156..........125862699............7925306181

....4264.....704428......125862699........22370911245.........3979620300917

...33868...15698874.....7925306181......3979620300917......2000159147569783

..268936..349736292...498915418541....707803712206189...1005095606724544160

.2135636.7791727354.31409217221246.125892415174551558.505085343218758535024

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -4*a(n-3) +4*a(n-4) -12*a(n-5) -16*a(n-6)

k=2: [order 18]

k=3: [order 62]

Example

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

Crossrefs

Sequence in context: A091647 A321945 A232018 * A354532 A332456 A255877

Adjacent sequences: A231196 A231197 A231198 * A231200 A231201 A231202

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 05 2013

Status

approved