Decimal part of cube root of a(n) starts with 2: first term of runs.

Terms

a(0) =2a(1) =11a(2) =33a(3) =75a(4) =141a(5) =239a(6) =374a(7) =552a(8) =779a(9) =1062a(10) =1405a(11) =1816a(12) =2300a(13) =2864a(14) =3512a(15) =4252a(16) =5089a(17) =6029a(18) =7078a(19) =8243a(20) =9529a(21) =10942a(22) =12488a(23) =14173a(24) =16004a(25) =17985a(26) =20124a(27) =22426a(28) =24898a(29) =27544