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%I #19 Nov 30 2013 21:30:41
%S 1,1,2,2,2,3,3,5,5,6,5,6,7,7,8,7,11,13,14,14,15,11,14,16,17,18,18,19,
%T 15,23,26,29,30,31,31,32,22,29,35,37,39,40,41,41,42,30,45,51,56,59,61,
%U 62,63,63,64,42,57,67,72,76,78,80,81,82,82,83
%N Triangle read by rows: T(n,k) = total number of parts <= k in the last section of the set of partitions of n.
%C Row n lists the partial sums of row n of triangle A182703.
%F T(n,k) = Sum_{j=1..k} A182703(n,j).
%e 1,
%e 1, 2,
%e 2, 2, 3,
%e 3, 5, 5, 6,
%e 5, 6, 7, 7, 8,
%e 7, 11, 13, 14, 14, 15,
%e 11, 14, 16, 17, 18, 18, 19,
%e 15, 23, 26, 29, 30, 31, 31, 32,
%e 22, 29, 35, 37, 39, 40, 41, 41, 42;
%Y Column 1 is A000041. Right border gives A138137.
%Y Cf. A135010, A138121, A182703, A206437, A206562, A207031, A207032, A207383, A208476, A210947, A210956.
%K nonn,tabl
%O 1,3
%A _Omar E. Pol_, May 01 2012
%E More terms from _Alois P. Heinz_, May 25 2013