A085762 Least integer m such that between m and 2m there are n triangular numbers.

1, 3, 14, 28, 53, 77, 105, 150, 189, 248, 298, 371, 431, 495, 588, 663, 770, 856, 946, 1073, 1173, 1314, 1425, 1580, 1702, 1828, 2003, 2139, 2328, 2475, 2627, 2836, 2998, 3221, 3393, 3570, 3813, 4001, 4258, 4456, 4727, 4935, 5148, 5439, 5663, 5968, 6202