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Triangle read by rows: T(n,k) = sum of all parts >= k in the last section of the set of partitions of n.
5

%I #19 Sep 25 2016 18:03:42

%S 1,3,2,5,3,3,11,8,4,4,15,10,8,5,5,31,24,16,10,6,6,39,28,22,16,12,7,7,

%T 71,56,40,31,19,14,8,8,94,72,58,40,32,22,16,9,9,150,120,90,72,52,37,

%U 25,18,10,10,196,154,124,94,74,54,42,28,20,11,11

%N Triangle read by rows: T(n,k) = sum of all parts >= k in the last section of the set of partitions of n.

%H Alois P. Heinz, <a href="/A206562/b206562.txt">Rows n = 1..141, flattened</a>

%e Triangle begins:

%e 1;

%e 3, 2;

%e 5, 3, 3;

%e 11, 8, 4, 4;

%e 15, 10, 8, 5, 5;

%e 31, 24, 16, 10, 6, 6;

%e 39, 28, 22, 16, 12, 7, 7;

%e 71, 56, 40, 31, 19, 14, 8, 8;

%e 94, 72, 58, 40, 32, 22, 16, 9, 9;

%Y Columns 1-2 give A138879, A138880. Diagonal is A000027.

%Y Cf. A135010, A138121, A182703, A206561, A207031, A207032.

%K nonn,tabl

%O 1,2

%A _Omar E. Pol_, Feb 15 2012