A281466 Number of nX5 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

16, 78, 57, 130, 278, 534, 1106, 2362, 4901, 10240, 21532, 45098, 94623, 198599, 416401, 873836, 1833801, 3846744, 8071427, 16936552, 35534012, 74557187, 156437792, 328231477, 688691845, 1445010747, 3031892645, 6361482526

Offset

1,1

Comments

Column 5 of A281469.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-3) -4*a(n-4) -3*a(n-5) -a(n-6) -a(n-7) +8*a(n-8) -3*a(n-10) for n>15

Example

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

Crossrefs

Cf. A281469.

Sequence in context: A200873 A082966 A198182 * A302620 A195976 A302412

Adjacent sequences: A281463 A281464 A281465 * A281467 A281468 A281469

Keyword

nonn

Author

R. H. Hardin, Jan 22 2017

Status

approved