A301395 Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

0, 2, 3, 13, 44, 156, 554, 1963, 6964, 24699, 87617, 310815, 1102602, 3911438, 13875683, 49223528, 174618908, 619455124, 2197497772, 7795555028, 27654489341, 98103442446, 348018917203, 1234586307769, 4379656611234, 15536695906316

Offset: 1

Author

R. H. Hardin, Mar 20 2018

Keywords

• nonn

Comments

Column 3 of A301400.

Examples

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

Links

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

Crossrefs

Cf. A301400.

Formula

Empirical: a(n) = 3*a(n-1) +2*a(n-2) -a(n-3) +3*a(n-4) +3*a(n-5) -8*a(n-6) -13*a(n-7) -13*a(n-8) -7*a(n-9) -8*a(n-10) -7*a(n-11) -a(n-12) +a(n-13) -2*a(n-14) +a(n-15)