A231392 Number of (n+1)X(4+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order

33, 90, 311, 1096, 4085, 15732, 62039, 245850, 980361, 3915982, 15667453, 62726276, 251241863, 1006595336, 4033439213, 16163623302, 64777551551, 259612134798, 1040482017255, 4170131147952, 16713541804781, 66986842603436

Offset

1,1

Comments

Column 4 of A231396

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -2*a(n-2) -28*a(n-3) -5*a(n-4) +74*a(n-5) +67*a(n-6) -29*a(n-7) -322*a(n-8) +13*a(n-9) +804*a(n-10) -816*a(n-11) +389*a(n-12) -306*a(n-13) -903*a(n-14) +1630*a(n-15) -942*a(n-16) +736*a(n-17) -1009*a(n-18) +279*a(n-19) +497*a(n-20) -83*a(n-21) +177*a(n-22) -192*a(n-23) +50*a(n-24) -96*a(n-25) -12*a(n-26) +12*a(n-27) +12*a(n-28) for n>31

Example

Some solutions for n=5
..0..0..0..1..1....0..0..0..1..1....0..0..0..1..1....0..1..1..1..1
..0..0..0..1..1....1..1..1..0..0....1..1..1..0..0....0..0..1..1..1
..1..1..1..0..0....1..1..0..0..0....1..1..0..0..0....0..0..1..1..1
..1..1..0..0..0....0..0..1..1..1....1..1..1..0..0....0..0..0..1..1
..2..2..2..0..0....0..0..1..1..1....1..1..1..0..0....0..0..0..0..0
..2..2..2..2..2....1..1..0..0..0....1..1..1..1..0....0..0..0..0..0

Crossrefs

Sequence in context: A080200 A067705 A075213 * A231460 A114069 A350220

Adjacent sequences: A231389 A231390 A231391 * A231393 A231394 A231395

Keyword

nonn

Author

R. H. Hardin, Nov 08 2013

Status

approved