A267717 Number of nX6 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

16, 256, 1080, 4266, 10489, 26906, 54887, 114392, 209470, 385962, 656670, 1114828, 1796644, 2877378, 4446790, 6818296, 10190753, 15108240, 21972963, 31714408, 45087635, 63668368, 88787667, 123106970, 168846792, 230489608, 311557126

Offset

1,1

Comments

Column 6 of A267719.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +10*a(n-2) -22*a(n-3) -44*a(n-4) +110*a(n-5) +110*a(n-6) -330*a(n-7) -165*a(n-8) +660*a(n-9) +132*a(n-10) -924*a(n-11) +924*a(n-13) -132*a(n-14) -660*a(n-15) +165*a(n-16) +330*a(n-17) -110*a(n-18) -110*a(n-19) +44*a(n-20) +22*a(n-21) -10*a(n-22) -2*a(n-23) +a(n-24) for n>27

Example

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

Crossrefs

Cf. A267719.

Sequence in context: A207658 A207450 A208552 * A223190 A207469 A207521

Adjacent sequences: A267714 A267715 A267716 * A267718 A267719 A267720

Keyword

nonn

Author

R. H. Hardin, Jan 19 2016

Status

approved