A297632 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.

5, 29, 113, 494, 2344, 10587, 48187, 222804, 1027173, 4742274, 21972140, 101903425, 473082512, 2198914110, 10228596580, 47609298494, 221722179703, 1033032196334, 4814686623467, 22446378284036, 104670487199231, 488182725513963

Offset

1,1

Comments

Column 3 of A297637.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -11*a(n-2) +33*a(n-3) -184*a(n-4) +159*a(n-5) -265*a(n-6) +1190*a(n-7) -508*a(n-8) +20*a(n-9) -1256*a(n-10) +664*a(n-11) +1408*a(n-12) -2464*a(n-13) +1024*a(n-14) -768*a(n-15)

Example

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

Crossrefs

Cf. A297637.

Sequence in context: A334544 A268929 A268244 * A153077 A000352 A327133

Adjacent sequences: A297629 A297630 A297631 * A297633 A297634 A297635

Keyword

nonn

Author

R. H. Hardin, Jan 02 2018

Status

approved