A251052 Number of (n+1)X(5+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements

5449, 25847, 53306, 123396, 248803, 521785, 1045337, 2159272, 4456235, 9472092, 20420073, 44991377, 100353084, 226542343, 514848340, 1176370457, 2695715545, 6190362467, 14231110836, 32740615341, 75353257829, 173470613490

Offset

1,1

Comments

Column 5 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
..0..0..1..1..2..3....1..2..2..2..3..3....2..3..3..3..3..3....0..0..2..0..0..3
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....1..0..2..0..0..3
..2..0..0..0..0..0....0..0..0..0..0..0....2..2..2..2..2..2....1..0..2..0..0..1
..2..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....2..0..2..0..0..0
..3..1..0..0..0..0....3..3..3..1..1..1....3..3..1..1..1..1....3..0..2..0..0..0

Crossrefs

Sequence in context: A125016 A234157 A204474 * A259514 A217255 A247715

Adjacent sequences: A251049 A251050 A251051 * A251053 A251054 A251055

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved