A300180 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

32, 2048, 129217, 8168705, 516368256, 32640586945, 2063278351093, 130424025161538, 8244367994118153, 521143277869649643, 32942527085459429442, 2082364172855562710821, 131630476835565158890163

Offset

1,1

Comments

Column 6 of A300182.

Links

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

Formula

Empirical: a(n) = 52*a(n-1) +613*a(n-2) +5871*a(n-3) +11376*a(n-4) +9186*a(n-5) -411458*a(n-6) +66088*a(n-7) -1386895*a(n-8) +8059846*a(n-9) -4373944*a(n-10) +14457696*a(n-11) -42895616*a(n-12) +12292096*a(n-13) -11452416*a(n-14) +15335424*a(n-15)

Example

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

Crossrefs

Cf. A300182.

Sequence in context: A301405 A303425 A317515 * A277426 A159364 A202734

Adjacent sequences: A300177 A300178 A300179 * A300181 A300182 A300183

Keyword

nonn

Author

R. H. Hardin, Feb 27 2018

Status

approved