A250796 Number of (n+1)X(7+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

1102, 3868, 13598, 48600, 177142, 653880, 2437366, 9144752, 34478398, 130446176, 494830430, 1880740552, 7158985446, 27281746344, 104059447110, 397187462784, 1516879760334, 5795614884304, 22151486206382, 84689884626136

Offset

1,1

Comments

Column 7 of A250797

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -68*a(n-2) +88*a(n-3) +312*a(n-4) -1008*a(n-5) +62*a(n-6) +2576*a(n-7) -1535*a(n-8) -2790*a(n-9) +1886*a(n-10) +1456*a(n-11) -656*a(n-12) -336*a(n-13)

Example

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

Crossrefs

Sequence in context: A178407 A178348 A359149 * A271431 A272754 A060519

Adjacent sequences: A250793 A250794 A250795 * A250797 A250798 A250799

Keyword

nonn

Author

R. H. Hardin, Nov 27 2014

Status

approved