login
A300091
Number of n X 3 0..1 arrays with every element equal to 0, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1
1, 7, 7, 19, 35, 95, 225, 575, 1563, 4179, 11555, 32259, 90327, 255307, 723255, 2054259, 5847519, 16660707, 47512875, 135574255, 386984391, 1104913059, 3155268051, 9011441543, 25738758919, 73519704603, 210007895555, 599899095903
OFFSET
1,2
COMMENTS
Column 3 of A300096.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -4*a(n-2) -8*a(n-3) -5*a(n-4) +35*a(n-5) -4*a(n-6) -26*a(n-7) -10*a(n-8) -2*a(n-9) -8*a(n-10) +88*a(n-11) +78*a(n-12) -176*a(n-13) -62*a(n-14) +40*a(n-15) +24*a(n-16) +52*a(n-17) -8*a(n-18) -8*a(n-19) for n > 20.
EXAMPLE
Some solutions for n=5
..0..0..0. .0..0..1. .0..1..1. .0..0..0. .0..0..1. .0..1..1. .0..0..1
..0..0..0. .1..0..0. .1..1..0. .1..0..1. .1..0..0. .0..0..1. .0..1..1
..0..0..0. .0..0..1. .0..0..0. .1..1..1. .0..0..1. .1..0..1. .0..1..0
..0..0..0. .1..1..1. .0..1..0. .1..0..1. .1..0..0. .1..1..1. .0..0..0
..0..0..0. .1..0..1. .1..1..1. .0..0..0. .0..0..1. .1..0..1. .1..0..1
CROSSREFS
Cf. A300096.
Sequence in context: A053416 A213031 A299453 * A094248 A282828 A339722
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 24 2018
STATUS
approved