A318340 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

16, 42, 76, 148, 393, 1115, 3321, 10111, 30943, 95244, 293401, 904986, 2792217, 8617223, 26597072, 82096253, 253412398, 782236683, 2414640760, 7453642765, 23008358869, 71023687464, 219240636280, 676766784339, 2089089700480

Offset

1,1

Comments

Column 5 of A318343.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +5*a(n-2) -12*a(n-3) -17*a(n-4) +20*a(n-5) +31*a(n-6) -13*a(n-7) -33*a(n-8) +a(n-9) +20*a(n-10) +2*a(n-11) -4*a(n-12) -3*a(n-13) +a(n-15) for n>18

Example

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

Crossrefs

Cf. A318343.

Sequence in context: A280184 A228685 A317761 * A318072 A304954 A218067

Adjacent sequences: A318337 A318338 A318339 * A318341 A318342 A318343

Keyword

nonn

Author

R. H. Hardin, Aug 24 2018

Status

approved