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A206562 Triangle read by rows: T(n,k) = sum of all parts >= k in the last section of the set of partitions of n.

%I A206562 #19 Sep 25 2016 18:03:42
%S A206562 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 A206562 71,56,40,31,19,14,8,8,94,72,58,40,32,22,16,9,9,150,120,90,72,52,37,
%U A206562 25,18,10,10,196,154,124,94,74,54,42,28,20,11,11
%N A206562 Triangle read by rows: T(n,k) = sum of all parts >= k in the last section of the set of partitions of n.
%H A206562 Alois P. Heinz, <a href="/A206562/b206562.txt">Rows n = 1..141, flattened</a>
%e A206562 Triangle begins:
%e A206562 1;
%e A206562 3,   2;
%e A206562 5,   3,  3;
%e A206562 11,  8,  4,  4;
%e A206562 15, 10,  8,  5,  5;
%e A206562 31, 24, 16, 10,  6,  6;
%e A206562 39, 28, 22, 16, 12,  7,  7;
%e A206562 71, 56, 40, 31, 19, 14,  8,  8;
%e A206562 94, 72, 58, 40, 32, 22, 16,  9,  9;
%Y A206562 Columns 1-2 give A138879, A138880. Diagonal is A000027.
%Y A206562 Cf. A135010, A138121, A182703, A206561, A207031, A207032.
%K A206562 nonn,tabl
%O A206562 1,2
%A A206562 _Omar E. Pol_, Feb 15 2012