A267716 Number of nX5 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

12, 144, 546, 1915, 4444, 10489, 20226, 39485, 68430, 119560, 192852, 313293, 479670, 740131, 1089072, 1617072, 2306226, 3323353, 4621390, 6500801, 8852780, 12205815, 16330614, 22134297, 29166650, 38947360, 50640656, 66733431, 85743710

Offset

1,1

Comments

Column 5 of A267719.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +8*a(n-2) -18*a(n-3) -27*a(n-4) +72*a(n-5) +48*a(n-6) -168*a(n-7) -42*a(n-8) +252*a(n-9) -252*a(n-11) +42*a(n-12) +168*a(n-13) -48*a(n-14) -72*a(n-15) +27*a(n-16) +18*a(n-17) -8*a(n-18) -2*a(n-19) +a(n-20) for n>22

Example

Some solutions for n=5
..1..0..1..0..1....0..1..1..0..1....0..1..0..1..0....1..1..0..1..0
..0..1..0..1..0....1..0..0..1..1....0..0..1..0..1....1..0..1..0..1
..1..0..1..0..1....1..0..1..0..0....1..0..1..1..0....0..1..0..1..0
..0..1..0..1..1....0..1..0..0..1....0..1..0..0..1....1..0..0..1..1
..1..0..1..0..0....1..0..1..1..0....1..0..1..1..0....0..1..1..0..1

Crossrefs

Cf. A267719.

Sequence in context: A208015 A208557 A183355 * A207309 A207115 A207395

Adjacent sequences: A267713 A267714 A267715 * A267717 A267718 A267719

Keyword

nonn

Author

R. H. Hardin, Jan 19 2016

Status

approved