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

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%I A227961 #10 Aug 02 2013 04:36:37
%S A227961 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 A227961 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 A227961 2,2,2,2,2,2,2,2,2,8,240,114,3282,52,740
%N A227961 Triangle T(n,k) read by rows: how often does k appear among the first A006116(n) entries of A198260?
%C A227961 T(n,k) shows how often k appears among the first A006116(n) entries of A198260.
%C A227961 n and k are counted from 1:
%C A227961 2,
%C A227961 3,  2,
%C A227961 4,  8, 2,  2,
%C A227961 5, 22, 8, 24, 2,  2,  2,   2,
%C A227961 6, 52,22,150, 8, 24, 24,  72,2, 2, 2, 2, 2, 2, 2,  2,
%C A227961 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 A227961 The number of different entries per row is 1,2,3,5,8,12,16...
%C A227961 The second column 2,8,22,52,114,240... seems to appear in other columns as well.
%C A227961 Row lengths are powers of two (A000079).
%C A227961 Row sums are the sums of Gaussian binomial coefficients (A006116).
%H A227961 Tilman Piesk, <a href="/A227961/b227961.txt">First 7 rows of triangle, flattened</a>
%H A227961 Tilman Piesk, <a href="/A227961/a227961.txt">First 7 rows of triangle</a>
%K A227961 nonn,tabf
%O A227961 1,1
%A A227961 _Tilman Piesk_, Aug 01 2013