A279488 Number of n X 2 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1, 0, 5, 18, 68, 235, 801, 2678, 8777, 28343, 90455, 285812, 895302, 2783602, 8598096, 26404831, 80671908, 245328807, 742945582, 2241375512, 6738536925, 20194613731, 60344058090, 179828931783, 534560389757, 1585341579329, 4691443265544
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0. .0..1. .0..0. .0..0. .0..1. .0..1. .0..1. .0..0. .0..0. .0..1 ..1..0. .0..1. .1..1. .0..1. .0..0. .1..1. .1..0. .0..1. .1..1. .1..0 ..0..0. .1..0. .1..0. .1..0. .0..1. .0..1. .1..1. .1..0. .1..1. .0..1 ..1..1. .0..0. .0..0. .1..0. .0..1. .1..0. .1..0. .0..1. .0..0. .1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A279494.
Formula
Empirical: a(n) = 7*a(n-1) -15*a(n-2) +11*a(n-3) -8*a(n-4) -9*a(n-5) +34*a(n-6) +17*a(n-7) +30*a(n-8) +41*a(n-9) +a(n-10) -18*a(n-11) -24*a(n-12) -33*a(n-13) -24*a(n-14) -8*a(n-15) -a(n-16).
Comments