login
A300141
Number of nX3 0..1 arrays with every element equal to 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1
0, 4, 1, 18, 41, 130, 510, 1740, 5554, 20089, 69607, 233844, 815086, 2824883, 9656170, 33351986, 115270625, 396350451, 1366335435, 4714673357, 16240450509, 55971672188, 193001422391, 665159525391, 2292527902957, 7903063069976
OFFSET
1,2
COMMENTS
Column 3 of A300146.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +3*a(n-2) +18*a(n-3) -21*a(n-4) -54*a(n-5) -54*a(n-6) +79*a(n-7) +119*a(n-8) +4*a(n-9) -3*a(n-10) -a(n-11) +26*a(n-12) -53*a(n-13) -17*a(n-14) +15*a(n-15) for n>17
EXAMPLE
Some solutions for n=5
..0..1..1. .0..1..1. .0..0..1. .0..1..0. .0..0..0. .0..0..0. .0..0..1
..0..1..1. .0..1..1. .0..0..1. .0..1..0. .0..0..0. .0..0..0. .0..0..1
..1..1..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .0..0..0
..1..1..0. .0..0..0. .1..1..0. .1..1..0. .1..1..1. .0..1..0. .1..0..1
..1..1..0. .0..0..0. .1..1..0. .1..1..0. .1..1..1. .0..1..0. .1..0..1
CROSSREFS
Cf. A300146.
Sequence in context: A258152 A259051 A192722 * A057968 A141233 A055139
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 26 2018
STATUS
approved