A098791 Slowest increasing sequence where the first pair of digits sums to 10, the next pair also does and so on.

1, 9, 19, 28, 37, 46, 55, 64, 73, 82, 91, 191, 919, 1919, 1928, 1937, 1946, 1955, 1964, 1973, 1982, 1991, 2819, 2828, 2837, 2846, 2855, 2864, 2873, 2882, 2891, 3719, 3728, 3737, 3746, 3755, 3764, 3773, 3782, 3791, 4619, 4628, 4637, 4646, 4655, 4664, 4673