login
A299593
Number of n X 6 0..1 arrays with every element unequal to 0, 1 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1
13, 15, 35, 121, 256, 576, 1225, 2601, 5625, 12100, 25921, 55696, 119716, 257049, 552049, 1185921, 2547216, 5470921, 11751184, 25240576, 54213769, 116445681, 250114225, 537219684, 1153892961, 2478446656, 5323453444, 11434238761
OFFSET
1,1
COMMENTS
Column 6 of A299595.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4) -a(n-5) -a(n-6) for n>9.
Empirical g.f.: x*(13 + 2*x + 7*x^2 + 32*x^3 + 42*x^4 + 92*x^5 + 23*x^6 - 39*x^7 - 29*x^8) / ((1 + x^2 - x^3)*(1 - x - 2*x^2 - x^3)). - Colin Barker, Feb 15 2018
EXAMPLE
Some solutions for n=5:
..0..0..0..1..0..0. .0..0..0..0..0..0. .0..0..0..1..0..0. .0..0..0..0..0..0
..1..0..0..0..0..1. .1..0..0..0..0..1. .1..0..0..0..0..0. .1..0..0..0..0..1
..0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0
..0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0
..0..1..0..0..0..0. .0..0..1..0..0..0. .0..1..0..0..1..0. .0..1..0..0..1..0
CROSSREFS
Cf. A299595.
Sequence in context: A113801 A108257 A217252 * A318543 A302001 A109018
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 13 2018
STATUS
approved