A299182 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

4, 13, 20, 27, 47, 83, 137, 235, 412, 709, 1228, 2150, 3758, 6578, 11556, 20330, 35805, 63163, 111574, 197307, 349294, 618999, 1098034, 1949511, 3464203, 6160917, 10965304, 19530386, 34810655, 62087577, 110808092, 197881858, 353585148

Offset

1,1

Comments

Column 3 of A299187.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) -14*a(n-4) +a(n-5) +4*a(n-6) +23*a(n-7) +3*a(n-8) -10*a(n-9) -21*a(n-10) -4*a(n-11) +3*a(n-13) +a(n-14) +6*a(n-15) +6*a(n-16) +4*a(n-17) for n>19

Example

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

Crossrefs

Cf. A299187.

Sequence in context: A297884 A298289 A298489 * A030744 A173512 A295159

Adjacent sequences: A299179 A299180 A299181 * A299183 A299184 A299185

Keyword

nonn

Author

R. H. Hardin, Feb 04 2018

Status

approved