A302684 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

32, 14, 18, 64, 125, 453, 2013, 6725, 21745, 80985, 295335, 1015113, 3570091, 12835677, 45416833, 159687591, 566457119, 2010993911, 7108904181, 25146289499, 89111146015, 315554058131, 1116679458873, 3953641136991, 14000618548225

Offset

1,1

Comments

Row 6 of A302680.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +18*a(n-3) +31*a(n-4) -4*a(n-5) -56*a(n-6) -58*a(n-7) -38*a(n-8) +52*a(n-9) +7*a(n-10) -47*a(n-11) +10*a(n-12) +a(n-13) -32*a(n-14) +12*a(n-15) +2*a(n-16) +8*a(n-17) for n>23

Example

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

Crossrefs

Cf. A302680.

Sequence in context: A275470 A162884 A029771 * A302519 A281720 A303318

Adjacent sequences: A302681 A302682 A302683 * A302685 A302686 A302687

Keyword

nonn

Author

R. H. Hardin, Apr 11 2018

Status

approved