%I #9 Sep 03 2023 18:00:53

%S 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,9,1,1,1,3,1,3,3,5,1,1,

%T 1,1,1,1,1,27,1,1,1,9,1,9,9,25,1,1,1,3,1,3,3,15,1,3,3,5,3,5,5,3,1,1,1,

%U 1,1,1,1,81,1,1,1,27,1,27,27,125,1,1,1,9,1,9,9,75,1,9,9,25,9,25,25,9,1,1,1,3,1

%N a(n) = A336466(A163511(n)).

%H Antti Karttunen, <a href="/A365426/b365426.txt">Table of n, a(n) for n = 0..16385</a>

%F For all n >= 1, a(n) = a(2*n) = a(A000265(n)).

%o (PARI)

%o A000265(n) = (n>>valuation(n,2));

%o 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 A336466(n) = { my(f=factor(n)); prod(k=1, #f~, A000265(f[k, 1]-1)^f[k, 2]); };

%o A365426(n) = A336466(A163511(n));

%Y Cf. A000265, A163511, A336466.

%Y Cf. also A365427.

%K nonn

%O 0,16

%A _Antti Karttunen_, Sep 03 2023