A096816 Row sums of triangle A096815, in which A096815(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and k.

1, 2, 3, 5, 9, 15, 26, 44, 75, 129, 220, 378, 648, 1114, 1910, 3284, 5635, 9677, 16608, 28501, 48930, 83973, 144150, 247396, 424612, 728577, 1250185, 2144858, 3679772, 6313029, 10830673, 18581706, 31880471, 54698330, 93847987, 161021223