A298916 Number of nX7 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

1, 8, 8, 9, 15, 24, 40, 76, 141, 277, 570, 1171, 2441, 5157, 10913, 23193, 49468, 105598, 225691, 482849, 1033370, 2212340, 4737746, 10147163, 21735151, 46560372, 99744293, 213684681, 457793103, 980778481, 2101245689, 4501796828, 9644879742

Offset

1,2

Comments

Column 7 of A298917.

Links

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

Formula

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

Example

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

Crossrefs

Cf. A298917.

Sequence in context: A179412 A298186 A175218 * A329032 A001732 A213746

Adjacent sequences: A298913 A298914 A298915 * A298917 A298918 A298919

Keyword

nonn

Author

R. H. Hardin, Jan 29 2018

Status

approved