A281398 Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 484, 1294, 3736, 10130, 23216, 51940, 117788, 262870, 583824, 1296590, 2854868, 6264318, 13732464, 29980832, 65248624, 141764680, 307282580, 664563862, 1434891116, 3092843594, 6655463192, 14301788146, 30691683240, 65779786142

Offset

1,2

Comments

Column 6 of A281400.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) +5*a(n-3) -15*a(n-4) -7*a(n-5) +2*a(n-6) +20*a(n-7) +36*a(n-8) -22*a(n-10) -40*a(n-11) -51*a(n-12) +7*a(n-13) +60*a(n-14) +30*a(n-15) +12*a(n-16) -2*a(n-17) -33*a(n-18) -21*a(n-19) +9*a(n-20) +9*a(n-21) for n>34

Example

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

Crossrefs

Cf. A281400.

Sequence in context: A202444 A329872 A199330 * A014803 A236647 A237078

Adjacent sequences: A281395 A281396 A281397 * A281399 A281400 A281401

Keyword

nonn

Author

R. H. Hardin, Jan 21 2017

Status

approved