A219406 Unmatched value maps: number of n X 4 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 n X 4 array.

7, 98, 1199, 14737, 181089, 2225293, 27345143, 336026564, 4129209727, 50741147949, 623524656508, 7662085181924, 94154334887381, 1157000812187473, 14217623447617101, 174711041141292808, 2146909292479553912

Offset

1,1

Comments

Column 4 of A219410.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) + 57*a(n-2) + 96*a(n-3) + 27*a(n-4) - 11*a(n-5) - 4*a(n-6).

Empirical g.f.: x*(1 + 2*x)*(7 + 35*x + 44*x^2 - 2*x^3 - 6*x^4) / (1 - 7*x - 57*x^2 - 96*x^3 - 27*x^4 + 11*x^5 + 4*x^6). - Colin Barker, Jul 26 2018

Example

Some solutions for n=3:
..1..1..1..1....1..0..1..1....1..1..0..0....1..0..0..0....1..0..0..0
..1..0..0..0....0..1..0..1....1..0..0..1....1..0..1..1....1..0..1..1
..1..0..0..0....1..0..1..1....1..0..1..1....0..0..0..1....0..1..1..1

Crossrefs

Cf. A219410.

Sequence in context: A124092 A036293 A133679 * A267664 A237022 A156266

Adjacent sequences: A219403 A219404 A219405 * A219407 A219408 A219409

Keyword

nonn

Author

R. H. Hardin, Nov 19 2012

Status

approved