A071112 Smallest k such that the number of elements in the continued fraction for (1+1/k)^k is >= n.

1, 2, 3, 3, 3, 4, 4, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 15, 15, 17, 17, 17, 17, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 23, 23, 23, 23, 23, 23, 23, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28