A224154 Number of nX4 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

11, 56, 187, 574, 1783, 5657, 18408, 61140, 205390, 694018, 2350061, 7961090, 26964678, 91303265, 309082754, 1046163241, 3540718751, 11983122960, 40555030532, 137252283821, 464510611475, 1572073476421, 5320479934245

Offset

1,1

Comments

Column 4 of A224158

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -5*a(n-2) -2*a(n-3) -3*a(n-4) +18*a(n-5) -18*a(n-6) +27*a(n-7) -3*a(n-8) -4*a(n-9) -8*a(n-11) -6*a(n-12) -6*a(n-13) for n>14

Example

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

Crossrefs

Sequence in context: A275643 A341405 A223773 * A079547 A034264 A051946

Adjacent sequences: A224151 A224152 A224153 * A224155 A224156 A224157

Keyword

nonn

Author

R. H. Hardin Mar 31 2013

Status

approved