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%I #22 May 09 2021 19:21:18
%S 1,2,2,2,3,2,3,2,4,4,3,2,5,2,3,4,4,2,5,2,5,4,3,2,5,6,3,6,5,2,7,2,8,4,
%T 3,6,5,2,3,4,7,2,7,2,5,8,3,2,9,8,9,4,5,2,5,6,9,4,3,2,7,2,3,10,4,6,7,2,
%U 5,4,11,2,5,2,3,12,5,8,7,2,13,8,3,2,9,6,3,4,9,2,7,8,5,4,3,6,5
%N a(1) = 1; a(n) = a(n-A006530(n-1)) + 1 for n > 1.
%H Indranil Ghosh, <a href="/A289052/b289052.txt">Table of n, a(n) for n = 1..10000</a>
%H Altug Alkan, <a href="/A289052/a289052.png">Alternative scatterplot</a>
%t a[1] = 1; a[n_] := a[n] = 1 + a[n - FactorInteger[n - 1][[-1, 1]]]; Array[a, 97] (* _Michael De Vlieger_, Jun 26 2017 *)
%o (PARI) a006530(n) = if(n>1, vecmax(factor(n)[, 1]), 1);
%o q=vector(100000); q[1]=1; for(n=2, #q, q[n]=q[n-a006530(n-1)]+1); q
%o (Python)
%o from sympy import primefactors
%o l=[0, 1, 2]
%o for n in range(3, 201): l.append(l[n - primefactors(n - 1)[-1]] + 1)
%o print(l[1:]) # _Indranil Ghosh_, Jun 23 2017
%Y Cf. A002024, A006530.
%K nonn
%O 1,2
%A _Altug Alkan_, Jun 23 2017
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