A231265 Number of (3+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order

22, 89, 304, 1253, 5109, 21894, 94234, 411978, 1804685, 7941968, 34969518, 154177482, 679856170, 2999022193, 13230140405, 58371368067, 257539346061, 1136325839478, 5013778949950, 22122400344087, 97611358054570

Offset

1,1

Comments

Row 3 of A231263

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -20*a(n-2) -36*a(n-3) +220*a(n-4) -282*a(n-5) -226*a(n-6) +1107*a(n-7) -1331*a(n-8) +254*a(n-9) +1022*a(n-10) -257*a(n-11) -2156*a(n-12) +2602*a(n-13) +2385*a(n-14) -8433*a(n-15) +7492*a(n-16) -959*a(n-17) -1626*a(n-18) -531*a(n-19) -3536*a(n-20) +3860*a(n-21) -2019*a(n-22) +4258*a(n-23) -1660*a(n-24) +328*a(n-25) -368*a(n-26) -96*a(n-27) for n>28

Example

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

Crossrefs

Sequence in context: A195323 A041940 A041942 * A041944 A230357 A145769

Adjacent sequences: A231262 A231263 A231264 * A231266 A231267 A231268

Keyword

nonn

Author

R. H. Hardin, Nov 06 2013

Status

approved