A280394 Number of nX4 0..2 arrays with no element unequal 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.

2, 16, 238, 3002, 35676, 410670, 4627308, 51310794, 561854184, 6090082758, 65460724868, 698687410882, 7412843182912, 78243277276350, 822166850058812, 8605199231211962, 89752467840352056, 933213129479013558

Offset

1,1

Comments

Column 4 of A280398.

Links

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

Formula

Empirical: a(n) = 34*a(n-1) -481*a(n-2) +3880*a(n-3) -20944*a(n-4) +82088*a(n-5) -243952*a(n-6) +563264*a(n-7) -1021840*a(n-8) +1458048*a(n-9) -1621632*a(n-10) +1371136*a(n-11) -839936*a(n-12) +335872*a(n-13) -65536*a(n-14) for n>15

Example

Some solutions for n=4
..0..0..0..0. .0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..0..0
..0..1..1..1. .1..1..0..2. .0..1..0..0. .1..1..1..1. .1..1..0..1
..1..2..1..1. .1..1..2..2. .0..0..0..2. .1..2..2..1. .1..0..1..0
..0..0..0..0. .1..1..1..1. .2..2..2..2. .2..2..2..2. .0..1..1..1

Crossrefs

Cf. A280398.

Sequence in context: A233288 A181218 A301581 * A223614 A152029 A152069

Adjacent sequences: A280391 A280392 A280393 * A280395 A280396 A280397

Keyword

nonn

Author

R. H. Hardin, Jan 02 2017

Status

approved