A235797 Triangle read by rows in which T(n,k) is the sum of the k-th largest elements in all overpartitions of n.

2, 6, 2, 16, 6, 2, 34, 14, 6, 2, 68, 30, 14, 6, 2, 128, 60, 30, 14, 6, 2

Offset: 1

Author

Omar E. Pol, Jan 18 2014

Keywords

• nonn
• tabl
• more

Comments

It appears that T(n,k) is also the total number of parts >= k in all overpartitions of n.

It appears that the first differences of row n together with 2 give row n of triangle A235798.

The equivalent sequence for partitions is A181187.

Examples

			Triangle begins:
    2;
    6,  2;
   16,  6,  2;
   34, 14,  6,  2;
   68, 30, 14,  6,  2;
  128, 60, 30, 14,  6,  2;
  ...
		

Crossrefs

Column 1 is A235792.

Cf. A015128, A181187, A235790, A235793, A235798, A236000, A236001.