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A324728
Binary length of A324712: a(n) = 0 if A324712(n) = 0, otherwise a(n) = 1+A000523(A324712(n)).
4
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
1,3
FORMULA
If A324712(n) = 0, then a(n) = 0, otherwise a(n) = 1+A000523(A324712(n)).
a(A000040(n)) = n.
PROG
(PARI)
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))); };
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 17 2019
STATUS
approved