OFFSET
0,3
COMMENTS
Arrangements obtained by rotations and flips are counted as distinct.
LINKS
FORMULA
T(n,0) = A059841(n).
T(2n+1,1) = 2 * A098301(n+1). - Alois P. Heinz, Mar 21 2016
T(2n+1,1) = 2*A189006(2n+1,3)^2. - R. J. Mathar, Mar 22 2016
Conjectured g.f. for column 3: ( -1 -4*x +543*x^2 -6238*x^3 +17032*x^4 -6238*x^5 +543*x^6 -4*x^7 -x^8 ) / ( (x-1) *(x^2-7*x+1) *(x^2-23*x+1) *(x^4 -161*x^3 +576*x^2 -161*x +1) ). - R. J. Mathar, Mar 23 2016
EXAMPLE
For n=m=1, the 3 X 3 board can be covered in T(1,1)=2 ways, starting in one corner with either a horizontal or a vertical domino.
Triangle begins:
1;
0, 2;
1, 0, 196;
0, 32, 0, 75272;
1, 0, 31329, 0, 599466256;
0, 450, 0, 135663392, 0, 28838245503008;
1, 0, 4941729, 0, 10956424382401, 0, 22463213552677201984;
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. J. Mathar, Mar 21 2016
EXTENSIONS
More terms from Alois P. Heinz, Mar 21 2016
STATUS
approved