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A112995 Triangular array T(n,k)=number of partitions of n in which the least part is <=k, for 1<=k<=n, n>=1. 0

%I #2 Mar 30 2012 18:57:06

%S 1,1,2,2,2,3,3,4,4,5,5,6,6,6,7,7,9,10,10,10,11,11,13,14,14,14,14,15,

%T 15,19,20,21,21,21,21,22,22,26,28,29,29,29,29,29,30,30,37,39,40,41,41,

%U 41,41,41,42,42,50,53,54,55,55,55,55,55,55,56,56,68,72,74,75,76,76,76,76

%N Triangular array T(n,k)=number of partitions of n in which the least part is <=k, for 1<=k<=n, n>=1.

%C The partition sequence A000041 occurs here as T(n,0) and also essentially as T(n,n).

%F Row n of T consists of the partial sums of row n of the array in A026794.

%e The first five rows:

%e 1

%e 1 2

%e 2 2 3

%e 3 4 4 5

%e 5 6 6 6 7

%e Row 5 of A026794, namely 5 1 0 0 1, has partial sums 5 6 6 6 7.

%Y Cf. A000041, A026794.

%K nonn,tabl

%O 1,3

%A _Clark Kimberling_, Oct 08 2005

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