A300210 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

4, 32, 228, 1651, 11965, 86775, 629440, 4566023, 33122989, 240283124, 1743081647, 12644813016, 91729105941, 665429316237, 4827215711786, 35018011778092, 254030734032018, 1842812043966813, 13368288852038965, 96977414177346279

Offset

1,1

Comments

Column 3 of A300215.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -4*a(n-2) -8*a(n-3) -15*a(n-4) -4*a(n-5) -25*a(n-6) -44*a(n-7) -12*a(n-8)

Example

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

Crossrefs

Cf. A300215.

Sequence in context: A320366 A317560 A302742 * A302736 A033515 A300799

Adjacent sequences: A300207 A300208 A300209 * A300211 A300212 A300213

Keyword

nonn

Author

R. H. Hardin, Feb 28 2018

Status

approved