A297871 Number of nX3 0..1 arrays with every element equal to 2, 3 or 5 king-move adjacent elements, with upper left element zero.

0, 3, 0, 3, 0, 3, 6, 23, 68, 205, 572, 1553, 4208, 11405, 30988, 84553, 231176, 632915, 1734004, 4751591, 13021550, 35685855, 97797264, 268015939, 734511376, 2012982445, 5516772882, 15119337301, 41436399090, 113561805901, 311231201784

Offset

1,2

Comments

Column 3 of A297876.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +5*a(n-2) -3*a(n-3) -15*a(n-4) -9*a(n-5) +24*a(n-6) +29*a(n-7) -a(n-8) -36*a(n-9) -67*a(n-10) -23*a(n-11) +49*a(n-12) +43*a(n-13) +14*a(n-14) +3*a(n-15) -4*a(n-16) -2*a(n-17) for n>18

Example

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

Crossrefs

Cf. A297876.

Sequence in context: A221168 A194084 A262281 * A292130 A291971 A240923

Adjacent sequences: A297868 A297869 A297870 * A297872 A297873 A297874

Keyword

nonn

Author

R. H. Hardin, Jan 07 2018

Status

approved