A101135 a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence.

1, 2, 3, 4, 9, 23, 37, 51, 65, 79, 93, 107, 121, 256, 647, 1038, 1429, 1820, 2211, 2602, 2993, 3384, 3775, 4166, 4557, 4948, 5339, 5730, 6121, 6512, 6903, 7294, 7685, 8076, 8467, 8858, 9249, 9640, 10031, 10422, 10813, 11204, 11595, 11986, 12377, 12768