login
A298186
Number of nX7 0..1 arrays with every element equal to 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1
0, 8, 8, 9, 10, 14, 19, 27, 38, 58, 90, 142, 225, 362, 587, 959, 1572, 2587, 4270, 7067, 11718, 19462, 32366, 53887, 89799, 149757, 249902, 417231, 696895, 1164423, 1946165, 3253513, 5440154, 9097892, 15216993, 25454538, 42583510, 71244379
OFFSET
1,2
COMMENTS
Column 7 of A298187.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) -2*a(n-2) -a(n-3) +2*a(n-4) -2*a(n-5) +a(n-6) -a(n-7) +a(n-8) -a(n-10) +a(n-11) for n>12
EXAMPLE
Some solutions for n=7
..0..0..0..0..0..1..1. .0..0..0..0..1..1..1. .0..0..0..1..1..0..0
..0..0..0..0..0..1..1. .0..0..0..0..1..1..1. .0..0..0..1..1..0..0
..0..0..0..0..0..1..1. .0..0..0..1..0..1..1. .0..0..0..1..1..0..0
..0..0..0..0..0..1..1. .1..1..1..0..1..0..0. .0..0..0..1..1..0..0
..0..0..0..0..0..1..1. .1..1..1..1..0..0..0. .0..0..0..1..1..0..0
..0..0..0..0..0..1..1. .1..1..1..1..0..0..0. .0..0..0..1..1..0..0
..0..0..0..0..0..1..1. .1..1..1..1..0..0..0. .0..0..0..1..1..0..0
CROSSREFS
Cf. A298187.
Sequence in context: A238272 A187107 A179412 * A175218 A298916 A329032
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 14 2018
STATUS
approved