Problem 349

Erdős Problem #349: declared status 'open'. Formalized: yes. For what values of $t,\alpha \in (0,\infty)$ is the sequence $\lfloor t\alpha^n\rfloor$ complete (that is, all sufficiently large integers are the sum of distinct integers of the form $\lfloor t\alpha^n\rfloor$)? Prize: no. Tags: complete sequences, number theory.