A116955 a(n+1) = a(n) + (if a(n) is odd then (next odd square) else (next even square)), a(0) = 1.

1, 10, 14, 30, 66, 130, 230, 374, 570, 826, 1150, 1550, 2034, 2610, 3286, 4070, 4970, 5994, 7150, 8446, 9890, 11490, 13254, 15190, 17306, 19610, 22110, 24814, 27730, 30866, 34230, 37830, 41674, 45770, 50126, 54750, 59650, 64834, 70310, 76086