A119270 - OEIS

%I #5 Mar 31 2012 13:21:31

%S 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 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 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 Triangle: number of exactly (m-1)-dimensional partitions of n, up to conjugacy, for n >= 1, m >= 0.

%C The partition of 1 is considered to be dimension -1 by convention.

%C Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate.

%F a(n,m) = A119269(n,m)-A119269(n,m-1).

%e Table starts:

%e 1

%e 0,1

%e 0,1,1

%e 0,1,2,1

%e 0,1,3,2,1

%Y Cf. A119269, A119271.

%Y Reversed triangle is A119339. Columns stabilize to A118364.

%K nonn,tabl

%O 1,9

%A _Franklin T. Adams-Watters_, May 11 2006

%E More terms from _Max Alekseyev_, May 15 2006