%I #3 Mar 30 2012 17:26:55

%S 1,1,0,1,1,0,1,2,1,0,1,2,3,1,0,1,2,5,5,1,0,1,2,6,11,7,1,0,1,2,6,16,21,

%T 11,1,0,1,2,6,18,38,39,15,1,0,1,2,6,19,51,86,73,21,1,0,1,2,6,19,57,

%U 135,193,129,28,1,0,1,2,6,19,59,170,352,420,227,39,1,0,1,2,6,19,60,186,498

%N Triangle: number of exactly (m-1)-dimensional partitions of n, up to conjugacy, for n >= 1, m=n..1.

%e Table starts:

%e 1

%e 1,0

%e 1,1,0

%e 1,2,1,0

%e 1,2,3,1,0

%Y Reversed triangle is A119270. Diagonals stabilize to A118364. Cf. A119269, A119338.

%K nonn,tabl

%O 0,8

%A _Max Alekseyev_, May 15 2006