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A281029 Number of nX3 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1
0, 2, 96, 532, 2321, 8886, 31700, 108034, 357542, 1158596, 3694697, 11633400, 36255175, 112035020, 343760934, 1048431286, 3181035325, 9608044744, 28905403029, 86656025654, 258976361436, 771797361724, 2294287282225 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 3 of A281034.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) -11*a(n-2) +4*a(n-3) +19*a(n-4) -46*a(n-5) +23*a(n-6) +4*a(n-7) -59*a(n-8) +26*a(n-9) -37*a(n-10) -20*a(n-11) +4*a(n-12) -36*a(n-13) -8*a(n-15) -8*a(n-16) -4*a(n-18) for n>21
EXAMPLE
Some solutions for n=4
..0..0..0. .0..1..0. .0..0..1. .0..0..1. .0..0..0. .0..1..0. .0..1..0
..0..1..0. .1..1..1. .0..1..1. .1..0..1. .0..1..0. .0..0..0. .0..1..0
..0..1..0. .1..0..0. .1..0..1. .1..1..1. .0..1..1. .1..1..1. .1..0..1
..1..0..1. .1..0..0. .0..1..0. .0..0..1. .1..0..0. .0..0..1. .0..0..1
CROSSREFS
Cf. A281034.
Sequence in context: A346654 A324165 A266831 * A282436 A069121 A362406
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 13 2017
STATUS
approved

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Last modified July 14 16:35 EDT 2024. Contains 374322 sequences. (Running on oeis4.)