A224155 Number of nX5 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

16, 101, 373, 1156, 3469, 10562, 32910, 105020, 342575, 1136503, 3815322, 12904448, 43836891, 149266926, 508857756, 1735637682, 5921189882, 20201365165, 68920464104, 235127759007, 802136163910, 2736424196762, 9334965911219

Offset

1,1

Comments

Column 5 of A224158

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -9*a(n-2) -a(n-3) +a(n-4) +23*a(n-5) -38*a(n-6) +42*a(n-7) -41*a(n-8) +89*a(n-9) -67*a(n-10) -9*a(n-11) +5*a(n-12) -32*a(n-13) -50*a(n-14) -12*a(n-15) -58*a(n-16) -28*a(n-17) +12*a(n-18) +4*a(n-20) for n>22

Example

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

Crossrefs

Sequence in context: A115328 A223767 A223774 * A224406 A223016 A253390

Adjacent sequences: A224152 A224153 A224154 * A224156 A224157 A224158

Keyword

nonn

Author

R. H. Hardin Mar 31 2013

Status

approved