A281711 Number of nX4 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.

2, 14, 38, 97, 245, 631, 1625, 4234, 11017, 28652, 74521, 193836, 504195, 1311543, 3411786, 8875377, 23088294, 60062126, 156247057, 406466099, 1057396975, 2750760479, 7155964344, 18615901819, 48428431650, 125984478749, 327743372244

Offset

1,1

Comments

Column 4 of A281715.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3) -2*a(n-4) +a(n-5) +7*a(n-6) +a(n-7) -10*a(n-8) -a(n-9) +27*a(n-10) -8*a(n-11) -18*a(n-12) +8*a(n-13) +a(n-14) -3*a(n-15) for n>16

Example

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

Crossrefs

Cf. A281715.

Sequence in context: A067293 A009368 A092344 * A216528 A329735 A290124

Adjacent sequences: A281708 A281709 A281710 * A281712 A281713 A281714

Keyword

nonn

Author

R. H. Hardin, Jan 28 2017

Status

approved