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A324874
a(n) is the binary length of A324398(n), where A324398(n) = A156552(n) AND (A323243(n) - A156552(n)).
6
0, 0, 0, 1, 0, 1, 0, 1, 3, 0, 0, 1, 0, 1, 4, 4, 0, 1, 0, 1, 5, 1, 0, 1, 0, 1, 4, 1, 0, 1, 0, 1, 0, 1, 5, 4, 0, 1, 7, 1, 0, 1, 0, 1, 3, 1, 0, 1, 0, 0, 2, 1, 0, 1, 6, 1, 9, 1, 0, 1, 0, 1, 3, 6, 0, 1, 0, 1, 0, 1, 0, 5, 0, 1, 5, 1, 6, 1, 0, 1, 4, 1, 0, 1, 8, 1, 11, 1, 0, 6, 7, 1, 0, 1, 9, 5, 0, 0, 7, 5, 0, 1, 0, 1, 6
OFFSET
1,9
FORMULA
If A324398(n) = 0, a(n) = 0, otherwise a(n) = A070939(A324398(n)) = 1 + A000523(A324398(n)).
a(n) = A324868(n) + A324881(n).
a(p) = 0 for all primes p.
PROG
(PARI)
A156552(n) = {my(f = factor(n), p2 = 1, res = 0); for(i = 1, #f~, p = 1 << (primepi(f[i, 1]) - 1); res += (p * p2 * (2^(f[i, 2]) - 1)); p2 <<= f[i, 2]); res}; \\ From A156552
A324398(n) = { my(k=A156552(n)); bitand(k, (A323243(n)-k)); }; \\ Needs also code from A323243.
A324874(n) = #binary(A324398(n));
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 27 2019
STATUS
approved