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A298190
Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.
1
4, 26, 92, 354, 1385, 5450, 21362, 83805, 328854, 1290664, 5064904, 19876664, 78004135, 306122212, 1201352626, 4714619350, 18502172075, 72610411677, 284954178325, 1118281595938, 4388613371256, 17222788578148, 67589559640000
OFFSET
1,1
COMMENTS
Column 3 of A298195.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -4*a(n-2) -2*a(n-3) +9*a(n-4) -26*a(n-5) +37*a(n-6) -19*a(n-7) +11*a(n-8) -62*a(n-9) -6*a(n-10) +50*a(n-11) +38*a(n-12) -20*a(n-13) -43*a(n-14) -2*a(n-15) +20*a(n-16) +8*a(n-17) for n>19
EXAMPLE
Some solutions for n=7
..0..0..1. .0..1..0. .0..1..1. .0..0..1. .0..0..1. .0..1..1. .0..1..0
..0..0..1. .0..1..0. .1..1..0. .0..1..0. .0..1..0. .1..0..0. .0..1..0
..0..0..1. .1..0..1. .0..0..0. .1..0..0. .0..1..0. .1..1..1. .1..1..0
..1..1..1. .1..0..1. .1..1..1. .1..1..1. .0..0..0. .0..0..0. .0..1..0
..1..1..0. .1..0..0. .0..0..1. .0..0..0. .1..0..1. .1..0..1. .0..1..0
..0..0..1. .0..1..1. .1..1..0. .1..1..1. .0..0..1. .0..0..1. .0..0..1
..1..1..1. .1..0..0. .0..0..1. .0..1..0. .1..1..0. .0..1..1. .1..0..0
CROSSREFS
Cf. A298195.
Sequence in context: A102198 A100207 A172123 * A299084 A245457 A299340
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 14 2018
STATUS
approved