A279743 Number of 3Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 8, 35, 106, 286, 746, 1887, 4700, 11553, 28104, 67759, 162144, 385583, 912098, 2147806, 5037496, 11773111, 27427532, 63715400, 147634764, 341291898, 787312776, 1812720970, 4166252110, 9559865376, 21903001872, 50112866179

Offset

1,2

Comments

Row 3 of A279741.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +10*a(n-4) -30*a(n-5) +21*a(n-6) +2*a(n-7) -14*a(n-8) +10*a(n-9) -7*a(n-10) +6*a(n-11) +6*a(n-12) -2*a(n-13) -a(n-14) -2*a(n-15) -a(n-16) for n>18

Example

Some solutions for n=4
..0..1..0..1. .0..1..1..1. .0..1..0..1. .0..1..0..0. .0..1..0..1
..1..0..0..0. .0..1..0..0. .1..0..0..1. .0..1..1..1. .0..0..0..0
..0..1..1..0. .0..1..1..0. .1..1..0..0. .0..0..0..1. .0..1..1..0

Crossrefs

Cf. A279741.

Sequence in context: A168566 A058102 A212674 * A189592 A285737 A244882

Adjacent sequences: A279740 A279741 A279742 * A279744 A279745 A279746

Keyword

nonn

Author

R. H. Hardin, Dec 18 2016

Status

approved