A120153 a(1)=7; a(n)=floor((23+sum(a(1) to a(n-1)))/3).

7, 10, 13, 17, 23, 31, 41, 55, 73, 97, 130, 173, 231, 308, 410, 547, 729, 972, 1296, 1728, 2304, 3072, 4096, 5462, 7282, 9710, 12946, 17262, 23016, 30688, 40917, 54556, 72741, 96988, 129318, 172424, 229898, 306531, 408708, 544944