A279743 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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