A233078 Number of n X 4 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.
14, 662, 32414, 1588262, 77824814, 3813415862, 186857377214, 9156011483462, 448644562689614, 21983583571791062, 1077195595017762014, 52782584155870338662, 2586346623637646594414, 126730984558244683126262
Offset: 1
Keywords
Examples
Some solutions for n=3: ..0..0..1..3....0..1..1..3....0..0..0..0....0..0..1..1....0..1..1..0 ..2..3..1..1....3..1..1..3....0..1..0..0....1..3..3..1....3..1..1..0 ..1..0..1..3....1..3..1..1....0..1..1..3....1..3..3..1....3..1..0..2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Column 4 of A233082.
Formula
Empirical: a(n) = 50*a(n-1) - 49*a(n-2).
Conjectures from Colin Barker, Oct 07 2018: (Start)
G.f.: 2*x*(7 - 19*x) / ((1 - x)*(1 - 49*x)).
a(n) = (49 + 27*49^n) / 98.
(End)