OFFSET
0,4
COMMENTS
Obtained by evaluating the half-exponential generating function D(x,y) in Lemma 3.1 of Drmota et al.
D(x,y) = sum_{n,m} d_(n,m)*x^n*y^m/n! with log( (1+D)/(1+y)) = x*D^2/(1+x*D).
The diagonal appears to be A052750.
LINKS
Michael Drmota, Omer Gimenez, Marc Noy, Vertices of given degree in series-parallel graphs, Rand. Struct. Algo. 36 (3) (2010) 273-314
EXAMPLE
The table d_(n,m) [which is T(n,m) with leading zeros maintained] for the number of SP networks with n+2 vertices and m nodes (internal nodes labeled from 1 to n) starts in row n=0 with columns m>=0 as:
n\m| 0 1 2 3 4
----------------------
0 | 0 1
1 | 0 0 1 1
2 | 0 0 0 2 7 5
3 | 0 0 0 0 6 48 91 49
CROSSREFS
KEYWORD
tabl,nonn
AUTHOR
R. J. Mathar, Jan 26 2011
STATUS
approved