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A281160
Number of nX3 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1
0, 5, 40, 477, 3237, 17806, 84443, 363824, 1461206, 5575913, 20472627, 72964149, 253964856, 867114052, 2913619968, 9658923248, 31652960455, 102699696500, 330326674680, 1054362056499, 3342590109159, 10532688379736, 33008494114988
OFFSET
1,2
COMMENTS
Column 3 of A281165.
LINKS
FORMULA
Empirical: a(n) = 9*a(n-1) -30*a(n-2) +42*a(n-3) +9*a(n-4) -153*a(n-5) +269*a(n-6) -141*a(n-7) -213*a(n-8) +587*a(n-9) -435*a(n-10) +129*a(n-11) +508*a(n-12) -438*a(n-13) +579*a(n-14) +83*a(n-15) -54*a(n-16) +504*a(n-17) -76*a(n-18) +198*a(n-19) +156*a(n-20) -4*a(n-21) +132*a(n-22) +12*a(n-23) +24*a(n-24) +24*a(n-25) +8*a(n-27) for n>32
EXAMPLE
Some solutions for n=4
..0..0..0. .0..0..1. .0..1..1. .0..0..0. .0..0..1. .0..0..0. .0..1..1
..0..0..1. .0..0..1. .0..0..1. .1..0..1. .1..1..0. .1..0..1. .1..0..1
..1..1..0. .1..0..1. .1..0..0. .1..1..0. .1..0..1. .1..0..1. .0..0..0
..0..1..0. .1..0..1. .1..0..1. .1..0..1. .1..1..0. .1..1..1. .0..1..1
CROSSREFS
Cf. A281165.
Sequence in context: A094574 A090362 A201366 * A282476 A198247 A088695
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 16 2017
STATUS
approved