A231741 Number of nX2 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors

4, 84, 318, 1328, 6064, 26918, 116909, 511264, 2248196, 9868600, 43259517, 189716276, 832295019, 3650903623, 16013507645, 70240174360, 308101760364, 1351448959786, 5927927566218, 26002016887928, 114054342072628

Offset

1,1

Comments

Column 2 of A231746

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -39*a(n-2) +104*a(n-3) -251*a(n-4) +391*a(n-5) -483*a(n-6) +687*a(n-7) -378*a(n-8) +503*a(n-9) -247*a(n-10) -66*a(n-11) -292*a(n-12) -300*a(n-13) -217*a(n-14) -153*a(n-15) -70*a(n-16) -27*a(n-17) -8*a(n-18) -a(n-19) for n>20

Example

Some solutions for n=7
..0..2....1..2....2..0....0..0....2..1....2..1....1..1....2..0....2..0....0..1
..0..2....1..1....3..0....2..2....1..1....2..1....0..0....0..0....1..0....0..2
..0..3....1..1....1..0....2..3....1..1....0..0....0..0....0..0....0..0....0..3
..0..3....3..3....0..0....0..0....1..1....0..0....1..2....2..2....0..0....0..0
..0..2....0..0....0..0....0..0....2..2....1..0....1..1....3..3....0..0....0..0
..0..0....0..0....3..2....1..1....2..2....3..0....3..1....0..0....2..2....0..0
..3..0....2..0....2..2....1..2....3..3....3..0....0..0....0..0....2..3....3..0

Crossrefs

Sequence in context: A119514 A316490 A102982 * A359861 A172138 A282588

Adjacent sequences: A231738 A231739 A231740 * A231742 A231743 A231744

Keyword

nonn

Author

R. H. Hardin, Nov 13 2013

Status

approved