A324811 -id:A324811 - cp's OEIS frontend

A324728 Binary length of A324712: a(n) = 0 if A324712(n) = 0, otherwise a(n) = 1+A000523(A324712(n)).

0, 1, 2, 3, 3, 3, 4, 4, 4, 4, 5, 4, 6, 5, 5, 5, 7, 3, 8, 5, 6, 6, 9, 5, 5, 7, 5, 6, 10, 6, 11, 6, 6, 8, 6, 6, 12, 9, 8, 6, 13, 5, 14, 7, 6, 10, 15, 6, 6, 4, 8, 8, 16, 3, 7, 7, 10, 11, 17, 5, 18, 12, 5, 7, 7, 7, 19, 9, 10, 5, 20, 7, 21, 13, 6, 10, 7, 7, 22, 7, 7, 14, 23, 7, 9, 15, 12, 8, 24, 7, 8, 11, 12, 16, 10, 7, 25, 5, 8, 7, 26, 9, 27, 9, 7

Offset: 1

Antti Karttunen, Mar 17 2019

nonn

Antti Karttunen, Table of n, a(n) for n = 1..10000 (based on Hans Havermann's factorization of A156552)
Index entries for sequences related to binary expansion of n
Index entries for sequences computed from indices in prime factorization
Index entries for sequences related to sigma(n)

Cf. A000523, A323243, A324712, A324733, A324735, A324811.

A324712(n) = { my(v=0); fordiv(n, d, if(issquarefree(n/d), v=bitxor(v, A323243(d)))); (v); }; \\ Needs also code from A323243.
A000523(n) = if( n<1, 0, #binary(n) - 1); \\ From A000523
A324728(n) = { my(k=A324712(n)); if(!k,k,(1+A000523(k))); };

If A324712(n) = 0, then a(n) = 0, otherwise a(n) = 1+A000523(A324712(n)).

a(A000040(n)) = n.

cp's OEIS Frontend

A324728 Binary length of A324712: a(n) = 0 if A324712(n) = 0, otherwise a(n) = 1+A000523(A324712(n)).

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