graded posets, A001831, A001833, A048194

Detlef Pauly dp at dettodet.de
Tue Jan 21 14:23:54 CET 2003


graded posets, A001831, A001833, A048194

Hi seqfans.

Is the following index entry correct?

"posets, graded: A001831 (labeled), A001833 (unlabeled)".

Index entries for sequences related to posets
http://www.research.att.com/~njas/sequences/Sindx_Pos.
html#posets" 

%S A001831 1,1,3,13,87,841,11643,227893,6285807,243593041,... 
for n=0,1,2,... 

%S A001833 1,3,19,219,3991,106623, for n=1,2,3,...

A001833 looks like *labeled* partially ordered sets (with 
special conditions). 

What about A001831? Labeled graded posets?

Here is my *guess* and conjecture:

A048194 is a unlabeled version of A001831.

%S A048194 
1,2,4,9,21,56,164,557,2223,10766,64956,501696,5067146,67997750, 
for n=1,2,3, ... 

Any comments?

Detlef Pauly
dp at dettodet.de







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