A251025 Number of (n+1)X(5+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements

18330, 60044, 118871, 257578, 516684, 1078862, 2203974, 4638560, 9823382, 21323795, 46876790, 104722539, 236069897, 536548809, 1225050935, 2806918650, 6443646515, 14812139786, 34073066816, 78416975906, 180515457726

Offset

1,1

Comments

Column 5 of A251028

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>14

Example

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

Crossrefs

Sequence in context: A145822 A286035 A217049 * A203783 A071368 A231142

Adjacent sequences: A251022 A251023 A251024 * A251026 A251027 A251028

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved