A251161 Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

552, 5054, 32083, 172457, 966212, 5804029, 35120036, 209215196, 1237992428, 7337306495, 43581646090, 258955567227, 1538048767915, 9133057761093, 54233933431813, 322072252767751, 1912682875370183, 11358698340772792

Offset

1,1

Comments

Column 2 of A251167

Links

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

Formula

Empirical: a(n) = 19*a(n-1) -168*a(n-2) +970*a(n-3) -4128*a(n-4) +13682*a(n-5) -36699*a(n-6) +81639*a(n-7) -152877*a(n-8) +243851*a(n-9) -334774*a(n-10) +399797*a(n-11) -419549*a(n-12) +389921*a(n-13) -322480*a(n-14) +237093*a(n-15) -153433*a(n-16) +85514*a(n-17) -39795*a(n-18) +15112*a(n-19) -4770*a(n-20) +1351*a(n-21) -352*a(n-22) +70*a(n-23) -7*a(n-24) for n>27

Example

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

Crossrefs

Sequence in context: A119897 A014360 A158636 * A189549 A282595 A290048

Adjacent sequences: A251158 A251159 A251160 * A251162 A251163 A251164

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved