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A298323
Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
1
1, 12, 22, 78, 283, 1097, 4503, 18491, 77067, 323638, 1361118, 5735262, 24183115, 102003399, 430351949, 1815817419, 7662005213, 32331475024, 136431305732, 575712567240, 2429399857349, 10251633060681, 43260101137309
OFFSET
1,2
COMMENTS
Column 3 of A298328.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +7*a(n-2) -a(n-3) -23*a(n-4) -16*a(n-5) -17*a(n-6) -85*a(n-7) -11*a(n-8) +187*a(n-9) +53*a(n-10) -118*a(n-11) +5*a(n-12) -24*a(n-13) -87*a(n-14) -25*a(n-15) +28*a(n-16) +16*a(n-17) -2*a(n-18) -a(n-19) for n>20
EXAMPLE
Some solutions for n=7
..0..0..1. .0..0..1. .0..1..1. .0..0..0. .0..0..1. .0..1..1. .0..1..1
..0..1..1. .0..1..1. .0..0..1. .0..1..0. .0..0..0. .1..1..0. .0..0..1
..0..0..1. .0..0..1. .0..1..1. .0..0..0. .1..1..1. .1..0..0. .1..0..0
..1..0..1. .1..0..1. .0..0..1. .0..1..0. .0..1..1. .1..1..0. .1..1..0
..0..0..1. .1..1..1. .0..0..1. .0..1..1. .1..1..0. .0..0..1. .0..1..1
..1..0..1. .0..0..0. .0..1..1. .1..0..0. .0..0..0. .0..1..1. .0..0..1
..1..1..1. .0..0..1. .0..0..1. .1..1..0. .1..0..1. .0..0..1. .0..1..1
CROSSREFS
Cf. A298328.
Sequence in context: A115709 A115703 A014633 * A299216 A227072 A066458
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 17 2018
STATUS
approved