login
A368994
a(n) = 1 if A342001(k) is a multiple of four, and 0 otherwise.
5
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0
OFFSET
1
COMMENTS
Asymptotic mean of this sequence seems to be about 0.208..., i.e., about half what it is for A368997.
FORMULA
a(n) = A121262(A342001(n)).
a(n) <= A353494(n).
a(n) <= A368997(n) <= A358680(n).
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003557(n) = (n/factorback(factorint(n)[, 1]));
A342001(n) = (A003415(n) / A003557(n));
A368994(n) = !(A342001(n)%4);
CROSSREFS
Characteristic function of A368995.
Sequence in context: A100910 A369004 A359605 * A217096 A014036 A014063
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 14 2024
STATUS
approved