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Triangle T(n,k) read by rows: how often does k appear among the first A006116(n) entries of A198260?
2

%I #10 Aug 02 2013 04:36:37

%S 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,

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

%U 2,2,2,2,2,2,2,2,2,8,240,114,3282,52,740

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

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

%C n and k are counted from 1:

%C 2,

%C 3, 2,

%C 4, 8, 2, 2,

%C 5, 22, 8, 24, 2, 2, 2, 2,

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

%C 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

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

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

%C Row lengths are powers of two (A000079).

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

%H Tilman Piesk, <a href="/A227961/b227961.txt">First 7 rows of triangle, flattened</a>

%H Tilman Piesk, <a href="/A227961/a227961.txt">First 7 rows of triangle</a>

%K nonn,tabf

%O 1,1

%A _Tilman Piesk_, Aug 01 2013