A299801 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

4, 13, 20, 44, 123, 343, 973, 2774, 7993, 23110, 66714, 192997, 558501, 1615967, 4676936, 13536345, 39177448, 113393194, 328199369, 949923737, 2749424053, 7957828042, 23032842153, 66665439494, 192954061684, 558479378315

Offset

1,1

Comments

Column 3 of A299806.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +8*a(n-3) -26*a(n-4) +34*a(n-5) -18*a(n-6) +31*a(n-7) -29*a(n-8) -20*a(n-9) +54*a(n-10) -59*a(n-11) +67*a(n-12) -85*a(n-13) +46*a(n-14) -20*a(n-15) +24*a(n-16) for n>17

Example

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

Crossrefs

Cf. A299806.

Sequence in context: A299092 A299874 A299010 * A299677 A300309 A228138

Adjacent sequences: A299798 A299799 A299800 * A299802 A299803 A299804

Keyword

nonn

Author

R. H. Hardin, Feb 19 2018

Status

approved