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A299123
Number of n X 3 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
1
3, 4, 9, 23, 31, 184, 427, 1115, 4128, 11024, 32827, 104959, 302093, 917104, 2804565, 8324555, 25231517, 76267810, 228857830, 691699768, 2085676297, 6280152762, 18952185100, 57128981249, 172189537544, 519305913429, 1565482526696
OFFSET
1,1
COMMENTS
Column 3 of A299128.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +4*a(n-2) +16*a(n-3) -13*a(n-4) -35*a(n-5) -62*a(n-6) +28*a(n-7) +65*a(n-8) +36*a(n-9) +61*a(n-10) +59*a(n-11) -34*a(n-12) -64*a(n-13) -36*a(n-14) -40*a(n-15) +3*a(n-16) +18*a(n-17) +2*a(n-18) for n>19.
EXAMPLE
Some solutions for n=5
..0..0..0. .0..1..0. .0..1..1. .0..0..0. .0..0..0. .0..1..1. .0..1..0
..0..0..0. .1..1..1. .0..1..1. .0..0..0. .0..0..0. .1..1..1. .0..1..0
..0..1..0. .1..0..1. .0..0..0. .0..0..1. .0..1..0. .1..1..1. .0..0..0
..0..0..0. .1..1..1. .0..1..1. .0..0..0. .0..0..0. .0..0..0. .1..0..1
..0..0..0. .0..1..0. .0..1..1. .0..0..0. .1..0..1. .0..0..0. .1..0..1
CROSSREFS
Cf. A299128.
Sequence in context: A116868 A049976 A032789 * A245455 A296265 A034921
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 03 2018
STATUS
approved