A039597

[franktaw at netscape.net]

I think he wants n >= n1 and k >= k1, plus the rest of what you said.  
This at least matches the first few values.

Franklin T. Adams-Watters


-----Original Message-----
From: Joshua Zucker <joshua.zucker at gmail.com>

What exactly is its name supposed to mean? 
 
I have in mind from the definition an array like 
 
n n1 n2 n3 ... 
k k1 k2 k3 ... 
 
where each n > n1 > n2 ... 
and each k > k1 > k2 ... 
and n > k, n1 > k1, ... 
 
where all the entries are nonnegative integers. 
 
But of course there are no such arrays. 
 
I presume, then, that once ni = 0, then all the subsequent n's are 0. 
 
But even then, isn't T(1,0) = 1, namely the array 
1 0 0 0 ... 
0 0 0 0 ... 
 
but the seq gives T(1,0) = 2. 
 
How about T(2,0)? I can see two of those, 
2 1 0 ... 
0 0 0 ... 
 
and 
 
2 0 0 ... 
0 0 0 ... 
 
and for T(2,1) I see those same two, only with a 1 in the bottom left 
corner. 
 
But the seq gives 4 and 6 for those values. 
 
Help? 
 
Thanks, 
--Joshua Zucker