A183512 Number of nX4 binary arrays with each element equal to either the sum mod 2 of its horizontal and vertical neighbors or the sum mod 2 of its diagonal and antidiagonal neighbors

4, 24, 138, 736, 3504, 18288, 94376, 490864, 2559872, 13257792, 68885664, 357944960, 1859678592, 9662769152, 50202415232, 260834073856, 1355207165440, 7041216239616, 36583863431680, 190077441806336, 987579713175552

Offset

1,1

Comments

Column 4 of A183517

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=4*a(n-1)+32*a(n-3)+4*a(n-4)+96*a(n-5)-368*a(n-6)-512*a(n-7)-2560*a(n-8)-1120*a(n-9)-1280*a(n-10)+3840*a(n-11)+40960*a(n-12)+64000*a(n-14)

Example

Some solutions for 3X4
..0..0..0..0....1..1..1..1....0..1..1..1....1..1..1..1....0..0..0..0
..0..1..0..0....0..0..1..0....0..0..1..1....1..1..0..0....0..0..1..0
..1..1..1..0....0..1..0..0....0..0..0..1....1..1..1..1....0..1..1..1

Crossrefs

Sequence in context: A071079 A153337 A122690 * A364277 A262376 A204199

Adjacent sequences: A183509 A183510 A183511 * A183513 A183514 A183515

Keyword

nonn

Author

R. H. Hardin Jan 05 2011

Status

approved