A280602 Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

32, 383, 735, 1709, 3647, 7594, 15792, 33136, 70293, 150510, 324417, 702417, 1525112, 3317003, 7221478, 15731170, 34280316, 74716385, 162869145, 355053222, 774048105, 1687544757, 3679181777, 8021454376, 17488766688, 38130129481

Offset

1,1

Comments

Column 6 of A280604.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3) +2*a(n-7) -2*a(n-8) -3*a(n-9) +5*a(n-10) -a(n-11) -a(n-12) -a(n-14) +a(n-15) for n>19

Example

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

Crossrefs

Cf. A280604.

Sequence in context: A125420 A163690 A268999 * A301321 A300496 A300935

Adjacent sequences: A280599 A280600 A280601 * A280603 A280604 A280605

Keyword

nonn

Author

R. H. Hardin, Jan 06 2017

Status

approved