A298283 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero.

8, 85, 205, 649, 2151, 7006, 22768, 73751, 238775, 774481, 2512751, 8150845, 26436856, 85743702, 278106216, 902050023, 2925843269, 9490084506, 30781419275, 99840712815, 323837616855, 1050381763044, 3406960613177, 11050631235618

Offset

1,1

Comments

Column 4 of A298287.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -6*a(n-2) +6*a(n-3) -21*a(n-4) +24*a(n-5) -36*a(n-6) +16*a(n-7) -6*a(n-8) +112*a(n-9) +70*a(n-10) -83*a(n-11) -186*a(n-12) -135*a(n-13) +122*a(n-14) +164*a(n-15) +54*a(n-16) -82*a(n-17) -63*a(n-18) +18*a(n-19) +38*a(n-20) +17*a(n-21) -15*a(n-22) -6*a(n-23) -2*a(n-24) for n>27

Example

Some solutions for n=7
..0..0..1..0. .0..1..1..0. .0..0..0..0. .0..0..0..1. .0..1..0..0
..1..1..0..1. .0..1..0..1. .1..1..1..0. .1..0..1..0. .0..0..1..0
..0..1..0..1. .0..1..0..1. .0..1..0..1. .1..1..1..0. .1..1..1..0
..0..0..0..1. .0..1..0..1. .0..0..0..1. .1..0..1..0. .0..0..0..1
..0..1..0..1. .0..1..1..1. .0..1..0..1. .1..0..1..0. .1..1..1..0
..1..1..0..1. .0..1..0..1. .0..1..0..1. .1..0..1..0. .0..1..0..0
..1..0..0..1. .1..0..0..0. .1..0..1..0. .1..1..0..0. .1..1..1..0

Crossrefs

Cf. A298287.

Sequence in context: A258338 A245197 A281340 * A299176 A093103 A288691

Adjacent sequences: A298280 A298281 A298282 * A298284 A298285 A298286

Keyword

nonn

Author

R. H. Hardin, Jan 16 2018

Status

approved