A231297 Number of (n+1)X(3+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order

4, 16, 69, 301, 1414, 6850, 33316, 162796, 797293, 3906788, 19152603, 93902795, 460455941, 2257842932, 11071788203, 54292311074, 266234310441, 1305534117780, 6401974363527, 31393453449193, 153944680060888, 754901179958837

Offset

1,1

Comments

Column 3 of A231302

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +17*a(n-2) -23*a(n-3) -78*a(n-4) -11*a(n-5) +143*a(n-6) +431*a(n-7) -362*a(n-8) -763*a(n-9) +176*a(n-10) -60*a(n-11) +336*a(n-12) +448*a(n-13) -256*a(n-14) for n>16

Example

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

Crossrefs

Sequence in context: A228950 A354121 A297203 * A339045 A341255 A231358

Adjacent sequences: A231294 A231295 A231296 * A231298 A231299 A231300

Keyword

nonn

Author

R. H. Hardin, Nov 07 2013

Status

approved