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A281710 Number of n X 3 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. 1
1, 7, 8, 14, 17, 22, 30, 43, 64, 98, 153, 242, 386, 619, 996, 1606, 2593, 4190, 6774, 10955, 17720, 28666, 46377, 75034, 121402, 196427, 317820, 514238, 832049, 1346278, 2178318, 3524587, 5702896, 9227474, 14930361, 24157826, 39088178 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) - a(n-3) for n>6.
Empirical g.f.: x*(1 + 5*x - 6*x^2 - x^3 - 4*x^4 - 4*x^5) / ((1 - x)*(1 - x - x^2)). - Colin Barker, Feb 20 2019
EXAMPLE
Some solutions for n=4:
..0..0..0. .0..0..0. .0..0..1. .0..0..1. .0..1..1. .0..0..1. .0..1..0
..1..1..1. .0..0..0. .0..1..0. .0..1..0. .1..0..1. .0..1..0. .1..0..1
..1..1..1. .0..0..0. .1..0..1. .1..0..1. .0..1..0. .1..0..1. .0..1..0
..1..1..1. .1..1..1. .0..1..1. .0..1..0. .0..0..1. .1..1..0. .1..0..1
CROSSREFS
Column 3 of A281715.
Sequence in context: A085334 A047274 A037368 * A037970 A101517 A271953
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 28 2017
STATUS
approved

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Last modified February 24 10:37 EST 2024. Contains 370294 sequences. (Running on oeis4.)