A088901 Numbers n such that n*k(n) is an integer, where k(n) is sum of successive remainders when computing the euclidean algorithm for (1,1/sqrt(n)) as defined in A086378 (MuPAD program is given there).

1, 2, 4, 9, 12, 16, 25, 30, 36, 49, 55, 56, 64, 70, 81, 90, 100, 121, 132, 144, 169, 180, 182, 196, 225, 240, 256, 289, 305, 306, 324, 361, 377, 380, 400, 441, 462, 484, 529, 552, 576, 625, 646, 650, 676, 729, 755, 756, 784, 841, 870, 900, 961, 987, 990, 992