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A082185 Triangle read by rows: n-th row contains concatenations of nonempty subsets of {1, 2, ..., n}, ordered first by size and then lexicographically.

%I A082185 #19 Jan 30 2023 10:53:54
%S A082185 1,1,2,12,1,2,3,12,13,23,123,1,2,3,4,12,13,14,23,24,34,123,124,134,
%T A082185 234,1234,1,2,3,4,5,12,13,14,15,23,24,25,34,35,45,123,124,125,134,135,
%U A082185 145,234,235,245,345,1234,1235,1245,1345,2345,12345,1,2,3,4,5,6,12,13,14,15
%N A082185 Triangle read by rows: n-th row contains concatenations of nonempty subsets of {1, 2, ..., n}, ordered first by size and then lexicographically.
%D A082185 F. Smarandache and J. Dezert, Advances and Applications of DSmT for Information Fusion, Vol. 1, ARPress, 2004, pp. 42-46.
%H A082185 Alois P. Heinz, <a href="/A082185/b082185.txt">Rows n = 1..9, flattened</a>
%H A082185 J. Dezert and F. Smarandache <a href="http://www.gallup.unm.edu/~smarandache/hyper-powerset.pdf">On the generation of hyper-powersets for the DSmT</a>, Proc. Fusion 2003 Conf., Cairns, Australia.
%H A082185 F. Smarandache and J. Dezert, <a href="http://www.gallup.unm.edu/~smarandache/DSmT-book1">Advances and Applications of DSmT for Information Fusion, Vol. 1, 2004</a>.
%H A082185 Florentin Smarandache, <a href="http://hal-ensieta.archives-ouvertes.fr/docs/00/48/84/87/PDF/Generalization_of_Venn_Diagram-ensieta.pdf">Algebraic Generalization of Venn Diagram</a>, in Multispace & Multistructure. Neutrosophic Transdisciplinarity, NESP, 2010.
%e A082185 Triangle T(n,k) begins:
%e A082185   1;
%e A082185   1, 2, 12;
%e A082185   1, 2,  3, 12, 13, 23, 123;
%e A082185   1, 2,  3,  4, 12, 13,  14, 23, 24, 34, 123, 124, 134, 234, 1234;
%e A082185   ...
%p A082185 T:= n-> map(x-> parse(cat(x[])),
%p A082185        [seq(combinat[choose]([$1..n], i)[], i=1..n)])[]:
%p A082185 seq(T(n), n=1..6);  # _Alois P. Heinz_, Jan 30 2023
%K A082185 nonn,easy,tabf,base
%O A082185 1,3
%A A082185 M. Khoshnevisan (m.khoshnevisan(AT)griffith.edu.au), May 10 2003
%E A082185 More terms from _David Wasserman_, Aug 19 2004