[seqfan] Re: Triplicate

Henry in Rotherhithe se16 at btinternet.com
Tue Jul 14 12:01:49 CEST 2009


Ignoring the initial zeros issue, it looks to me as if the Cayley 
reference suggests this for the number of partitions of floor[3n/2]-1 
into up to 3 terms each no more than n (or variants on the same theme), 
so explaining why this is close to A001971 </%7Enjas/sequences/A001971>

However that would give 1 for the 1st term, so with no starting zero 
A001972 becomes the number of partitions of floor[(3n+1)/2] into up to 3 
terms each no more than (n+1) or variants on the same theme.  

Henry Bottomley






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