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%I A119270 #5 Mar 31 2012 13:21:31
%S A119270 1,0,1,0,1,1,0,1,2,1,0,1,3,2,1,0,1,5,5,2,1,0,1,7,11,6,2,1,0,1,11,21,
%T A119270 16,6,2,1,0,1,15,39,38,18,6,2,1,0,1,21,73,86,51,19,6,2,1,0,1,28,129,
%U A119270 193,135,57,19,6,2,1,0,1,39,227,420,352,170,59,19,6,2,1,0,1,51,390,890,894
%N A119270 Triangle: number of exactly (m-1)-dimensional partitions of n, up to conjugacy, for n >= 1, m >= 0.
%C A119270 The partition of 1 is considered to be dimension -1 by convention.
%C A119270 Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate.
%F A119270 a(n,m) = A119269(n,m)-A119269(n,m-1).
%e A119270 Table starts:
%e A119270 1
%e A119270 0,1
%e A119270 0,1,1
%e A119270 0,1,2,1
%e A119270 0,1,3,2,1
%Y A119270 Cf. A119269, A119271.
%Y A119270 Reversed triangle is A119339. Columns stabilize to A118364.
%K A119270 nonn,tabl
%O A119270 1,9
%A A119270 _Franklin T. Adams-Watters_, May 11 2006
%E A119270 More terms from _Max Alekseyev_, May 15 2006

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