I have the recursive definition: $$a_0=0,~a_{n+1} = 28 + a_n + \left\lfloor\frac{a_n}{16}\right\rfloor$$ I want to create an explicit form for that. I was able to transform the problem into finding an explicit form of $$b_0 = 0, b_n = 28 - \left\lfloor\frac{\sum_{i=0}^{n- 1} b_i}{16}\right\rfloor$$ as $$a_n = \sum_{i=0}^n b_i$$ , which might lead to an easier case. Any ideas how to progress from here?
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