A342465 - OEIS

%I #5 Mar 17 2021 17:59:37

%S 0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,2,1,0,0,1,0,0,0,2,

%T 0,3,1,0,0,3,2,0,1,2,1,1,0,0,3,4,1,2,2,0,1,0,1,3,0,2,0,0,2,0,2,1,2,0,

%U 0,1,1,4,3,3,0,2,0,2,1,4,3,0,2,0,2,1,0,3,3,4,0,2,0,1,0,0,2,4,1,4,2,2,2,3,0

%N a(n) = A329697(A337194(n)).

%H <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

%F a(n) = A329697(A336698(n)) = A329697(A337194(n)).

%o (PARI)

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

%o A329697(n) = if(!bitand(n,n-1),0,1+A329697(n-(n/vecmax(factor(n)[, 1]))));

%o A337194(n) = (1+A000265(sigma(n)));

%o A342465(n) = A329697(A336698(n));

%Y Cf. A000203, A000265, A329697, A337194, A342466.

%Y Cf. also A336694, A336928.

%K nonn

%O 1,9

%A _Antti Karttunen_, Mar 16 2021