A298898 Number of nX4 0..1 arrays with every element equal to 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

0, 2, 2, 4, 10, 24, 56, 142, 346, 874, 2210, 5640, 14440, 37224, 96128, 249108, 646710, 1681772, 4378614, 11411374, 29760404, 77658384, 202729956, 529406180, 1382821596, 3612643922, 9439431124, 24666860228, 64464076954, 168480273482

Offset

1,2

Comments

Column 4 of A298902.

Links

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

Formula

Empirical: a(n) = a(n-1) +5*a(n-2) +4*a(n-3) -6*a(n-4) -18*a(n-5) -16*a(n-6) -12*a(n-7) -3*a(n-8) +9*a(n-9) +22*a(n-10) +19*a(n-11) +14*a(n-12) +3*a(n-13) -a(n-14) -2*a(n-15) -2*a(n-16)

Example

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

Crossrefs

Cf. A298902.

Sequence in context: A217212 A025244 A132824 * A339830 A078801 A309159

Adjacent sequences: A298895 A298896 A298897 * A298899 A298900 A298901

Keyword

nonn

Author

R. H. Hardin, Jan 28 2018

Status

approved