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Triangle T(n,k) = (2n+1-2k)*fibonacci(k), read by rows.
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%I #6 Mar 15 2015 09:36:20

%S 1,3,1,5,3,2,7,5,6,3,9,7,10,9,5,11,9,14,15,15,8,13,11,18,21,25,24,13,

%T 15,13,22,27,35,40,39,21,17,15,26,33,45,56,65,63,34,19,17,30,39,55,72,

%U 91,105,102,55,21,19,34,45,65,88,117,147,170,165

%N Triangle T(n,k) = (2n+1-2k)*fibonacci(k), read by rows.

%F Triangle read by rows, A099375 * A127647 = termwise products of odd numbers and the Fibonacci series.

%e First few rows of the triangle =

%e 1;

%e 3, 1;

%e 5, 3, 2;

%e 7, 5, 6, 3;

%e 9, 7, 10, 9, 5;

%e 11, 9, 14, 15, 15, 8;

%e 13, 11, 18, 21, 25, 24, 13;

%e 15, 13, 22, 27, 35, 40, 39, 21;

%e 17, 15, 26, 33, 45, 56, 65, 63, 34;

%e ...

%e Row 4 = (7, 5, 6, 3) = termwise products of (7, 5, 3, 1) and (1, 1, 2, 3).

%t Flatten[Table[(2n+1-2k)Fibonacci[k],{n,15},{k,n}]] (* _Harvey P. Dale_, Mar 15 2015 *)

%Y Cf. A099375, A127647, A001891 (row sums).

%K nonn,tabl,easy

%O 1,2

%A _Gary W. Adamson_, Nov 29 2008