A117268 - OEIS

%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