A228664 Number of 5 X n binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.

16, 29, 574, 2228, 24109, 128740, 1096624, 6780585, 51990406, 344168764, 2516149353, 17192729316, 122982062328, 852741876277, 6038989672654, 42158071124804, 297183800090933, 2081125389730084, 14639300678885312

Offset

1,1

Links

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

Formula

Empirical: a(n) = 4*a(n-1) + 34*a(n-2) - 76*a(n-3) - 134*a(n-4) + 258*a(n-5) + 45*a(n-6) - 102*a(n-7).

Empirical g.f.: x*(16 - 35*x - 86*x^2 + 162*x^3 + 29*x^4 - 66*x^5) / (1 - 4*x - 34*x^2 + 76*x^3 + 134*x^4 - 258*x^5 - 45*x^6 + 102*x^7). - Colin Barker, Sep 12 2018

Example

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

Crossrefs

Row 5 of A228660.

Sequence in context: A054314 A222545 A115278 * A359935 A217715 A064634

Adjacent sequences: A228661 A228662 A228663 * A228665 A228666 A228667

Keyword

nonn

Author

R. H. Hardin, Aug 29 2013

Status

approved