login
A316735
Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1
1, 14, 23, 36, 210, 509, 1219, 4537, 12446, 34074, 107898, 310388, 888841, 2671672, 7794702, 22673135, 67020720, 196302530, 574105870, 1687995611, 4949193929, 14501512606, 42565223865, 124832600401, 366003755322, 1073726129016
OFFSET
1,2
COMMENTS
Column 3 of A316740.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +4*a(n-2) +12*a(n-3) -6*a(n-4) -36*a(n-5) -28*a(n-6) +a(n-7) +42*a(n-8) +15*a(n-9) +12*a(n-10) -2*a(n-11) -4*a(n-12) -16*a(n-13) -8*a(n-14) for n>16
EXAMPLE
Some solutions for n=5
..0..0..0. .0..1..1. .0..1..0. .0..0..1. .0..0..0. .0..1..1. .0..0..1
..0..1..0. .1..0..1. .1..1..1. .1..0..1. .0..1..0. .1..0..1. .0..1..1
..0..0..0. .1..1..1. .1..0..1. .1..1..1. .1..0..0. .1..1..1. .1..1..1
..0..1..0. .1..0..1. .1..0..0. .0..0..1. .0..1..0. .1..0..0. .1..0..1
..0..0..1. .1..1..0. .1..1..1. .1..0..1. .1..0..0. .1..1..0. .1..1..1
CROSSREFS
Cf. A316740.
Sequence in context: A184220 A373647 A026065 * A010922 A010902 A010923
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 11 2018
STATUS
approved