A038871 Triangle read by rows: T(n,k) = number of orbits of order k under doubling map which remain in a semicircle, with k dividing n.

0, 1, 1, 3, 1, 5, 7, 1, 5, 11, 15, 1, 9, 21, 27, 31, 1, 9, 21, 43, 55, 63, 1, 17, 37, 85, 91, 119, 127, 1, 17, 73, 85, 171, 219, 239, 255, 1, 33, 73, 165, 341, 363, 439, 495, 511, 1, 33, 137, 293, 341, 683, 731, 887, 991, 1023, 1, 65, 273, 585, 661, 1365, 1387