A118036 Row sums of triangle A118032, where the matrix square of A118032 forms a diagonal bisection of A118032.

1, 2, 5, 11, 25, 52, 109, 218, 431, 831, 1589, 2972, 5493, 10024, 18105, 32202, 56649, 98785, 170747, 292100, 495477, 835227, 1398695, 2326007, 3844649, 6325627, 10352213, 16845499, 27260159, 43917379, 70412419, 112364735, 178524165