A137629 - OEIS

%I #7 Apr 02 2022 10:10:56

%S 1,2,1,4,0,1,7,2,0,1,11,2,0,0,1,18,4,2,0,0,1,26,4,2,0,0,0,1,39,9,2,2,

%T 0,0,0,1,55,9,4,2,0,0,0,0,1,79,16,4,2,2,0,0,0,0,1,106,18,6,2,2,0,0,0,

%U 0,0,1,150,29,9,4,2,2,0,0,0,0,0,1

%N Triangle read by rows, A026794^2.

%C Row sums = A137630: (1, 3, 5, 10, 14, 25, 33, 53, 71, 104, ...).

%C Left border = A137631: (1, 2, 4, 7, 11, 18, 26, 39, 55, 79, ...).

%F Square of the partition triangle.

%e First few rows of the triangle:

%e    1;

%e    2, 1;

%e    4, 0, 1;

%e    7, 2, 0, 1;

%e   11, 2, 0, 0, 1;

%e   18, 4, 2, 0, 0, 1;

%e   26, 4, 2, 0, 0, 0, 1;

%e   39, 9, 2, 2, 0, 0, 0, 1;

%e   ...

%Y Cf. A026794, A137630, A137631.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Jan 31 2008