A297602 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s.

7, 35, 181, 953, 4997, 26155, 137033, 717905, 3760657, 19700359, 103201589, 540625665, 2832090849, 14836035579, 77719229889, 407135626281, 2132798039801, 11172757117047, 58528983567693, 306606675825193, 1606172667510097

Offset

1,1

Comments

Column 3 of A297607.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -a(n-2) +19*a(n-3) -36*a(n-4) -62*a(n-6) +62*a(n-7) +24*a(n-8) +4*a(n-9) -40*a(n-10) -32*a(n-11)

Example

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

Crossrefs

Cf. A297607.

Sequence in context: A037506 A037689 A051926 * A289991 A295248 A295647

Adjacent sequences: A297599 A297600 A297601 * A297603 A297604 A297605

Keyword

nonn

Author

R. H. Hardin, Jan 01 2018

Status

approved