A224037 Number of nX7 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

8, 43, 161, 508, 1505, 4395, 12856, 37808, 111683, 331170, 985275, 2939862, 8794582, 26369119, 79223520, 238443031, 718767456, 2169574122, 6556325043, 19832290886, 60040894419, 181897703946, 551397549898, 1672317703423, 5074042241500

Offset

1,1

Comments

Column 7 of A224038

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -21*a(n-2) +15*a(n-3) +15*a(n-4) -16*a(n-5) -9*a(n-6) +12*a(n-7) -8*a(n-8) +10*a(n-9) -12*a(n-10) +16*a(n-11) -16*a(n-12) +32*a(n-13) for n>16

Example

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

Crossrefs

Sequence in context: A065789 A025064 A241695 * A245136 A362904 A036424

Adjacent sequences: A224034 A224035 A224036 * A224038 A224039 A224040

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved