A233079 Number of n X 5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order.

41, 4631, 529862, 60632429, 6938214854, 793945203881, 90851753687090, 10396235291448605, 1189649113515482414, 136132453105625552657, 15577740173984637831242, 1782572659143148713774245

Offset

1,1

Links

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

Formula

Empirical: a(n) = 118*a(n-1) - 411*a(n-2) + 294*a(n-3).

Empirical g.f.: x*(41 - 207*x + 255*x^2) / ((1 - x)*(1 - 117*x + 294*x^2)). - Colin Barker, Oct 07 2018

Example

Some solutions for n=2:
..0..0..1..3..3....0..0..1..0..0....0..0..1..0..0....0..0..0..0..1
..0..1..3..3..1....2..3..2..0..0....1..1..1..1..1....0..1..1..1..0

Crossrefs

Column 5 of A233082.

Sequence in context: A093174 A280677 A209104 * A159992 A101830 A223130

Adjacent sequences: A233076 A233077 A233078 * A233080 A233081 A233082

Keyword

nonn

Author

R. H. Hardin, Dec 03 2013

Status

approved