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Michael De Vlieger, <a href="/A133903/b133903.txt">Table of n, a(n) for n = 1..10000</a>
Nest[Append[#1, If[Divisible[Last[#1], 3], Last[#1]/3, Last[#1] + DivisorSigma[0, #2]]] & @@ {#, Length[#]} &, {1}, 77] (* Michael De Vlieger, Mar 21 2022 *)
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a(n) = a(n-1) + A000005(n-1) if a(n-1) is not divisible by 3, otherwise a(n) = a(n-1)/3.
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