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

1,1

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

Crossrefs

Sequence in context: A116217 A333907 A274486 * A108838 A318176 A105070

Adjacent sequences: A227958 A227959 A227960 * A227962 A227963 A227964

Keyword

nonn,tabf

Author

Tilman Piesk, Aug 01 2013

Status

approved