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%I #7 Apr 25 2016 12:17:38
%S 1,1,1,2,1,2,4,2,3,5,7,4,6,9,14,13,7,11,17,26,40,24,13,20,31,48,74,
%T 114,44,24,37,57,88,136,210,324,81,44,68,105,162,250,386,596,920
%N Triangle, binomial transform of the tribonacci sequence.
%C Leftmost column of the triangle = the tribonacci sequence A000073.
%C Rightmost diagonal of the triangle = A117189.
%F Difference rows of A117267 become rows of A117268
%e Taking difference rows of A117267: (1; 1, 2; 2, 3, 5; 4, 6, 9, 14;...), we get A117268:
%e 1;
%e 1, 1;
%e 2, 1, 2;
%e 4, 2, 3, 5;
%e 7, 4, 6, 9, 14;
%e 13, 7, 11, 17, 26, 40;
%e 24, 13, 20, 31, 48, 74, 114;
%e ...
%Y Cf. A117267, A117189 (row sums), A000073.
%K nonn,tabl
%O 1,4
%A _Gary W. Adamson_, Mar 05 2006