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A365385 a(n) = A331410(A163511(n)).

%I A365385 #11 Sep 03 2023 18:20:46
%S A365385 0,0,0,1,0,2,1,2,0,3,2,4,1,3,2,1,0,4,3,6,2,5,4,2,1,4,3,3,2,2,1,2,0,5,
%T A365385 4,8,3,7,6,3,2,6,5,4,4,3,2,4,1,5,4,5,3,4,3,3,2,3,2,4,1,3,2,2,0,6,5,10,
%U A365385 4,9,8,4,3,8,7,5,6,4,3,6,2,7,6,6,5,5,4,5,4,4,3,6,2,5,4,4,1,6,5,7,4,6,5,4,3,5
%N A365385 a(n) = A331410(A163511(n)).
%H A365385 Antti Karttunen, <a href="/A365385/b365385.txt">Table of n, a(n) for n = 0..65537</a>
%F A365385 For all n >= 1, a(n) = a(2*n) = a(A000265(n)).
%o A365385 (PARI)
%o A365385 A163511(n) = if(!n, 1, my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
%o A365385 A331410(n) = if(!bitand(n,n-1),0,1+A331410(n+(n/vecmax(factor(n)[, 1]))));
%o A365385 A365385(n) = A331410(A163511(n));
%Y A365385 Cf. A000265, A163511, A331410.
%Y A365385 Cf. A131577 (positions of 0's).
%Y A365385 Cf. also A334204, A364260.
%K A365385 nonn
%O A365385 0,6
%A A365385 _Antti Karttunen_, Sep 03 2023