A267715 Number of nX4 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

9, 81, 270, 872, 1915, 4266, 7879, 14632, 24440, 40816, 63714, 99260, 147469, 218666, 312723, 446708, 619670, 859376, 1162558, 1573616, 2084223, 2764010, 3595063, 4684320, 5997316, 7694800, 9715586, 12296260, 15334641, 19171946, 23645587

Offset

1,1

Comments

Column 4 of A267719.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16) for n>18

Example

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

Crossrefs

Cf. A267719.

Sequence in context: A207909 A208421 A209646 * A207753 A207107 A207463

Adjacent sequences: A267712 A267713 A267714 * A267716 A267717 A267718

Keyword

nonn

Author

R. H. Hardin, Jan 19 2016

Status

approved