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A173528
a(n) = 1 + sum of digits of n-1 written in base 8.
If A053829 is written as a triangle then the rows converge to this sequence; see the conjecture in A000120.
The sequence is the base b=8 case in a family of 8 sequences for base b=2 (A063787) and bases 3 to 9 (A173523 to A173529). Common aspects (recurrences etc.) of these are documented in A173525.