A297370 Number of n X 4 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1's.

16, 208, 2610, 33054, 418344, 5294713, 67012245, 848136217, 10734382366, 135859031714, 1719491243863, 21762632197104, 275437378257814, 3486055760828284, 44121044298605071, 558415207201660600

Offset

1,1

Links

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

Formula

Empirical: a(n) = 13*a(n-1) - 4*a(n-2) - 3*a(n-3) - 19*a(n-4) + 15*a(n-5) - a(n-6).

Empirical g.f.: x*(16 - 30*x^2 + 4*x^3 + 10*x^4 - x^5) / ((1 - x)*(1 - 12*x - 8*x^2 - 5*x^3 + 14*x^4 - x^5)). - Colin Barker, Feb 27 2019

Example

Some solutions for n=5:
..0..0..0..1. .0..0..0..0. .0..0..0..0. .0..0..0..1. .0..0..0..1
..1..0..1..0. .0..1..1..0. .1..1..0..1. .1..1..0..0. .0..0..1..0
..0..1..0..1. .1..1..0..1. .0..0..1..0. .0..1..1..1. .0..1..1..0
..0..0..0..0. .0..0..1..0. .1..0..0..1. .0..0..1..0. .0..1..1..0
..1..0..1..1. .0..0..1..1. .0..1..0..0. .0..1..0..0. .0..0..0..0

Crossrefs

Column 4 of A297374.

Sequence in context: A046088 A186853 A016159 * A285167 A283694 A283126

Adjacent sequences: A297367 A297368 A297369 * A297371 A297372 A297373

Keyword

nonn

Author

R. H. Hardin, Dec 29 2017

Status

approved