A301320 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

16, 138, 293, 726, 1649, 3649, 8035, 17751, 39436, 88008, 197077, 442264, 993792, 2234792, 5027626, 11313294, 25460611, 57302948, 128973323, 290288905, 653378578, 1470622946, 3310082320, 7450351492, 16769302128, 37744471436

Offset

1,1

Comments

Column 5 of A301323.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) -4*a(n-3) +4*a(n-4) +2*a(n-6) -5*a(n-8) +2*a(n-9) +4*a(n-10) -2*a(n-11) -2*a(n-12) +a(n-14) for n>16

Example

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

Crossrefs

Cf. A301323.

Sequence in context: A351698 A114182 A280601 * A300495 A300934 A300878

Adjacent sequences: A301317 A301318 A301319 * A301321 A301322 A301323

Keyword

nonn

Author

R. H. Hardin, Mar 18 2018

Status

approved