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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