A051411 a(n+1) = a(n) + sum of digits of a(n)^3.

7, 17, 34, 53, 88, 116, 151, 179, 214, 242, 277, 305, 340, 359, 403, 440, 466, 503, 538, 575, 610, 638, 682, 719, 772, 818, 853, 890, 925, 962, 1006, 1034, 1060, 1079, 1114, 1160, 1195, 1250, 1276, 1322, 1357, 1412, 1456, 1502, 1546, 1592, 1645, 1673, 1717