A318341 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

32, 89, 160, 343, 1115, 4133, 16267, 66070, 270320, 1112195, 4584060, 18912384, 78063418, 322286580, 1330722690, 5494862763, 22690219542, 93697259411, 386917457753, 1597759628888, 6597895365718, 27245818039527, 112510877313046

Offset

1,1

Comments

Column 6 of A318343.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +9*a(n-2) -28*a(n-3) -57*a(n-4) +78*a(n-5) +199*a(n-6) -73*a(n-7) -366*a(n-8) -89*a(n-9) +336*a(n-10) +298*a(n-11) -42*a(n-12) -362*a(n-13) -234*a(n-14) +215*a(n-15) +227*a(n-16) +16*a(n-17) -99*a(n-18) -65*a(n-19) +7*a(n-20) +27*a(n-21) +4*a(n-22) -4*a(n-23) for n>27

Example

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

Crossrefs

Cf. A318343.

Sequence in context: A184029 A184021 A317762 * A318073 A279713 A228801

Adjacent sequences: A318338 A318339 A318340 * A318342 A318343 A318344

Keyword

nonn

Author

R. H. Hardin, Aug 24 2018

Status

approved