A267785 Number of nX5 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

28, 784, 5004, 34173, 122770, 460598, 1234716, 3380133, 7591852, 17155354, 34199992, 67950531, 124234066, 225071767, 385178280, 650960709, 1057141184, 1692165611, 2633057784, 4034703001, 6058479774, 8956146100, 13048584888

Offset

1,1

Comments

Column 5 of A267788.

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=4
..1..0..0..1..0....0..1..0..0..1....1..0..0..0..1....0..0..1..0..0
..0..1..1..0..1....0..0..0..0..1....0..0..1..1..1....1..1..0..1..1
..1..0..0..0..0....1..0..1..1..0....0..1..0..0..0....1..1..1..1..0
..0..1..0..1..0....1..1..1..1..1....1..1..1..1..1....0..0..0..0..0

Crossrefs

Cf. A267788.

Sequence in context: A207917 A208163 A207959 * A223496 A208043 A208032

Adjacent sequences: A267782 A267783 A267784 * A267786 A267787 A267788

Keyword

nonn

Author

R. H. Hardin, Jan 20 2016

Status

approved