A210955 - OEIS

%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