A227961 Triangle T(n,k) read by rows: how often does k appear among the first A006116(n) entries of A198260?

2, 3, 2, 4, 8, 2, 2, 5, 22, 8, 24, 2, 2, 2, 2, 6, 52, 22, 150, 8, 24, 24, 72, 2, 2, 2, 2, 2, 2, 2, 2, 7, 114, 52, 740, 22, 150, 150, 1046, 8, 24, 24, 72, 24, 72, 72, 216, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 240, 114, 3282, 52, 740

Offset: 1

Author

Tilman Piesk, Aug 01 2013

Keywords

• nonn
• tabf

Comments

T(n,k) shows how often k appears among the first A006116(n) entries of A198260.

n and k are counted from 1:

2,

3, 2,

4, 8, 2, 2,

5, 22, 8, 24, 2, 2, 2, 2,

6, 52,22,150, 8, 24, 24, 72,2, 2, 2, 2, 2, 2, 2, 2,

7,114,52,740,22,150,150,1046,8,24,24,72,24,72,72,216,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2

The number of different entries per row is 1,2,3,5,8,12,16...

The second column 2,8,22,52,114,240... seems to appear in other columns as well.

Row lengths are powers of two (A000079).

Row sums are the sums of Gaussian binomial coefficients (A006116).

Links

• Tilman Piesk, First 7 rows of triangle, flattened
• Tilman Piesk, First 7 rows of triangle