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A298449
Number of nX3 0..1 arrays with every element equal to 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
1
0, 4, 0, 11, 26, 46, 204, 696, 1493, 5880, 18994, 49941, 174020, 552946, 1590917, 5237693, 16486804, 49511202, 158599036, 497008665, 1523240497, 4815373712, 15059431049, 46604564297, 146391271270, 457401829113, 1422103399094
OFFSET
1,2
COMMENTS
Column 3 of A298454.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +4*a(n-2) +21*a(n-3) -16*a(n-4) -60*a(n-5) -83*a(n-6) +55*a(n-7) +144*a(n-8) +125*a(n-9) +67*a(n-10) -98*a(n-11) -105*a(n-12) -92*a(n-13) +37*a(n-14) +11*a(n-15) -7*a(n-16) +3*a(n-17) for n>18
EXAMPLE
Some solutions for n=7
..0..1..1. .0..1..1. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..1
..0..1..1. .0..1..1. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..1
..1..1..1. .1..1..1. .1..0..1. .1..1..0. .1..1..1. .0..1..1. .1..0..0
..1..0..0. .1..0..0. .1..0..1. .0..0..0. .1..1..0. .0..1..1. .1..0..0
..1..0..0. .1..0..0. .1..1..1. .0..0..0. .1..1..0. .0..0..0. .0..0..0
..0..0..1. .1..1..1. .1..1..0. .1..0..1. .0..0..0. .0..1..1. .1..0..1
..0..0..1. .1..1..1. .1..1..0. .1..0..1. .0..0..0. .0..1..1. .1..0..1
CROSSREFS
Cf. A298454.
Sequence in context: A019127 A019207 A373742 * A298056 A298706 A369911
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 19 2018
STATUS
approved