A302621 Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

32, 169, 146, 497, 2229, 9015, 36510, 150072, 606756, 2468992, 10053705, 40857230, 166236741, 676221120, 2750271178, 11187615465, 45506216823, 185098331538, 752909910881, 3062514905153, 12457030400283, 50670074667584

Offset

1,1

Comments

Column 6 of A302623.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +5*a(n-2) +6*a(n-3) -34*a(n-4) -11*a(n-5) +18*a(n-6) +19*a(n-7) +14*a(n-8) +7*a(n-9) -40*a(n-10) +24*a(n-11) -4*a(n-12) -13*a(n-13) +78*a(n-14) -65*a(n-15) -58*a(n-16) +47*a(n-17) -3*a(n-18) +8*a(n-19) +6*a(n-20) -6*a(n-21) for n>27

Example

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

Crossrefs

Cf. A302623.

Sequence in context: A172191 A304381 A281467 * A302413 A303180 A188820

Adjacent sequences: A302618 A302619 A302620 * A302622 A302623 A302624

Keyword

nonn

Author

R. H. Hardin, Apr 10 2018

Status

approved