A251051 Number of (n+1)X(4+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements

2243, 11280, 24893, 59215, 123396, 262200, 533327, 1107413, 2297926, 4888898, 10549941, 23231818, 51804184, 116876925, 265531368, 606511919, 1389607505, 3190603867, 7334375879, 16872832209, 38832132163, 89393731501, 205817073537

Offset

1,1

Comments

Column 4 of A251055

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -25*a(n-2) +35*a(n-3) -7*a(n-4) -49*a(n-5) +77*a(n-6) -55*a(n-7) +20*a(n-8) -3*a(n-9) for n>12

Example

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

Crossrefs

Sequence in context: A183771 A271470 A263912 * A107529 A260608 A125522

Adjacent sequences: A251048 A251049 A251050 * A251052 A251053 A251054

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved