A076123 Rearrangement of natural numbers so that the product of n terms starting from a(n) is a square.

1, 2, 8, 3, 6, 4, 18, 5, 15, 7, 42, 9, 16, 10, 20, 11, 55, 12, 45, 13, 91, 14, 27, 17, 68, 19, 76, 21, 210, 22, 110, 23, 253, 24, 330, 25, 48, 26, 130, 28, 364, 29, 2639, 30, 105, 31, 93, 32, 34, 33, 561, 35, 665, 36, 171, 37, 777, 38, 1995, 39, 858, 40, 44, 41, 943, 43