A224156 Number of nX6 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

22, 169, 702, 2271, 6786, 20065, 60214, 184233, 575410, 1833641, 5947567, 19579806, 65205152, 219009930, 740080588, 2511332286, 8545644419, 29133026750, 99436525669, 339656225391, 1160767044395, 3968114261421, 13567722769117

Offset

1,1

Comments

Column 6 of A224158

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -14*a(n-2) +3*a(n-3) +7*a(n-4) +24*a(n-5) -58*a(n-6) +62*a(n-7) -67*a(n-8) +112*a(n-9) -164*a(n-10) +193*a(n-11) -92*a(n-12) -46*a(n-13) +22*a(n-14) -60*a(n-15) -144*a(n-16) +42*a(n-17) -254*a(n-18) -28*a(n-19) -120*a(n-20) -72*a(n-21) +36*a(n-22) -4*a(n-23) +12*a(n-24) for n>27

Example

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

Crossrefs

Sequence in context: A141306 A067561 A223768 * A223775 A224407 A243143

Adjacent sequences: A224153 A224154 A224155 * A224157 A224158 A224159

Keyword

nonn

Author

R. H. Hardin, Mar 31 2013

Status

approved