A231358 Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..3 introduced in row major order

4, 16, 69, 314, 1588, 8664, 48485, 278067, 1614600, 9457286, 55658849, 328567895, 1943405850, 11507060869, 68185488380, 404194144927, 2396690435419, 14213377453875, 84300321175577, 500017419228606, 2965913106562548

Offset

1,1

Comments

Column 3 of A231363

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +19*a(n-2) -167*a(n-3) -115*a(n-4) +1237*a(n-5) +894*a(n-6) -2132*a(n-7) -12928*a(n-8) -6798*a(n-9) +79252*a(n-10) +20108*a(n-11) -196263*a(n-12) -35291*a(n-13) +142846*a(n-14) +232674*a(n-15) +127936*a(n-16) -441702*a(n-17) -286662*a(n-18) -294442*a(n-19) +742062*a(n-20) +988354*a(n-21) -1093164*a(n-22) -192112*a(n-23) +147959*a(n-24) +36993*a(n-25) +60390*a(n-26) +7290*a(n-27) -32805*a(n-28) +6561*a(n-29) for n>31

Example

Some solutions for n=4
..0..0..0..1....0..0..1..1....0..0..1..1....0..0..0..1....0..0..0..0
..0..0..1..1....0..1..1..1....0..1..1..1....0..0..1..1....0..0..0..0
..1..1..1..1....1..1..1..1....1..1..2..2....2..2..1..1....0..0..1..1
..1..1..2..2....2..2..1..1....2..2..2..3....2..2..1..1....1..1..1..0
..1..2..2..2....2..2..1..1....2..2..3..3....2..2..1..1....1..1..0..0

Crossrefs

Sequence in context: A231297 A339045 A341255 * A000303 A351186 A298048

Adjacent sequences: A231355 A231356 A231357 * A231359 A231360 A231361

Keyword

nonn

Author

R. H. Hardin, Nov 08 2013

Status

approved