|
|
A234543
|
|
Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).
|
|
1
|
|
|
208, 1212, 7056, 41112, 239648, 1397712, 8156096, 47619552, 278172288, 1625861952, 9507847936, 55631928192, 325684361728, 1907717620992, 11180553624576, 65562717445632, 384665021523968, 2258145124856832
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 6*a(n-1) + 34*a(n-2) - 204*a(n-3) - 40*a(n-4) + 240*a(n-5).
Empirical g.f.: 4*x*(52 - 9*x - 1822*x^2 + 2160*x^4) / ((1 - 6*x)*(1 - 34*x^2 + 40*x^4)). - Colin Barker, Oct 15 2018
|
|
EXAMPLE
|
Some solutions for n=4:
5 4 5 1 4 3 2 2 1 5 1 4 5 4 1 2 0 4 4 2
2 4 5 4 1 3 4 1 1 2 5 5 2 4 3 1 4 5 1 2
1 0 2 4 2 1 5 5 4 2 1 4 0 5 2 3 2 0 1 5
3 5 2 1 1 3 2 5 3 4 4 4 0 2 3 1 0 1 4 5
1 0 4 0 2 1 4 4 2 0 1 4 4 3 5 0 4 2 4 2
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|