[seqfan] Re: Extension of A005646

[Andrew Weimholt]

>> I would also like to see a triangle with T(n,k) being the number of
>> classifications of n objects using k binary partitions.
>>
>> This starts:
>>
>> 1
>> 0 1
>> 0 0 1
>> 0 0 1 2
>> 0 0 0 3 3 (I think)
>> 0 0 0 3 17 6 (from Andrew's list)
>>
>
> I'll modify my program to generate this triangle and send the results
> a little later today.
>

Here's the triangle I get...

1
0 1
0 0 1
0 0 1 2
0 0 0 3 3
0 0 0 3 17 6
0 0 0 1 36 74 11
0 0 0 1 60 573 358 23

Andrew