A281474 Number of 6 X n 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.

32, 857, 283, 405, 534, 706, 924, 1190, 1602, 2290, 3374, 5036, 7604, 11522, 17514, 26762, 41012, 62916, 96636, 148524, 228308, 351060, 539950, 830528, 1277578, 1965406, 3023596, 4651588, 7156298, 11009776, 16938296, 26059354, 40092080

Offset

1,1

Links

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

Formula

Empirical: a(n) = 2*a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-6) - a(n-7) for n>12.

Empirical g.f.: x*(32 + 793*x - 1399*x^2 + 664*x^3 - 818*x^4 + 617*x^5 - 108*x^6 - 906*x^7 + 548*x^8 - 64*x^9 + x^10 - 6*x^11) / ((1 - x)*(1 - x - x^3 - x^6)). - Colin Barker, Feb 19 2019

Example

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

Crossrefs

Row 6 of A281469.

Sequence in context: A203957 A301839 A302067 * A302627 A302419 A303186

Adjacent sequences: A281471 A281472 A281473 * A281475 A281476 A281477

Keyword

nonn

Author

R. H. Hardin, Jan 22 2017

Status

approved