A013944 Sum of terms in period of continued fraction for square root of the n-th nonsquare.

2, 3, 4, 6, 7, 5, 6, 9, 8, 10, 10, 7, 8, 12, 17, 10, 14, 18, 13, 9, 10, 15, 18, 16, 12, 25, 13, 14, 16, 11, 12, 18, 16, 15, 16, 14, 29, 20, 20, 34, 19, 13, 14, 21, 26, 29, 26, 20, 16, 22, 20, 27, 18, 36, 22, 15, 16, 24, 41, 20, 34, 24, 33, 18, 30, 20, 19, 40, 26, 22