A140949 a(n) = number of iterations of k -> k-1/k until we reach a negative number, starting at n.

3, 6, 10, 14, 20, 26, 34, 43, 52, 63, 74, 87, 100, 115, 130, 147, 164, 183, 202, 223, 244, 267, 290, 315, 341, 367, 395, 423, 453, 483, 515, 547, 581, 615, 651, 687, 725, 763, 803, 843, 885, 927, 971, 1015, 1061, 1107, 1155, 1203, 1253, 1303, 1355, 1407, 1461