A137151 - OEIS

%I #5 Apr 01 2022 21:30:08

%S 1,2,1,5,2,1,13,4,3,1,34,9,6,4,1,88,22,11,10,5,1,225,55,22,20,15,6,1,

%T 569,137,50,36,35,21,7,1,1425,338,122,65,70,56,28,8,1,3538,826,302,

%U 130,127,126,84,36,9,1,8717,2002,740,296,221,252,210,120,45,10,1

%N Triangle read by rows: A007318 * A026794.

%C Row sums = A103446: (1, 3, 8, 21, 54, 137, 344, ...).

%F Binomial transform of the partition triangle, A026794.

%e First few rows of the triangle:

%e     1;

%e     2,   1;

%e     5,   2,  1;

%e    13,   4,  3,  1;

%e    34,   9,  6,  4,  1;

%e    88,  22, 11, 10,  5,  1;

%e   225,  55, 22, 20, 15,  6, 1;

%e   569, 137, 50, 36, 35, 21, 7, 1;

%e   ...

%Y Cf. A026794, A103446.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Jan 23 2008