%I #10 Dec 21 2020 23:03:57

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

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

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

%N a(n) = A339894(n) - A061395(n).

%H Antti Karttunen, <a href="/A339895/b339895.txt">Table of n, a(n) for n = 1..65537</a>

%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

%F a(n) = A339894(n) - A061395(n).

%F a(n) = A334201(n) - A339896(n).

%F a(n) = A339893(A122111(n)).

%o (PARI)

%o A000523(n) = if( n<1, 0, #binary(n) - 1); \\ From A000523

%o A122111(n) = if(1==n,n,my(f=factor(n), es=Vecrev(f[,2]),is=concat(apply(primepi,Vecrev(f[,1])),[0]),pri=0,m=1); for(i=1, #es, pri += es[i]; m *= prime(pri)^(is[i]-is[1+i])); (m));

%o A339894(n) = A000523(A122111(n));

%o A061395(n) = if(1==n, 0, primepi(vecmax(factor(n)[, 1])));

%o A339895(n) = (A339894(n)-A061395(n));

%Y Cf. A000523, A061395, A122111, A334201, A339893, A339894, A339896.

%Y Cf. A339897 (first occurrence of each n).

%K nonn

%O 1,27

%A _Antti Karttunen_, Dec 21 2020