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A351074
Difference between the maximal exponent in the prime factorization of A327860(n) and the maximal exponent in the prime factorization of n.
6
0, -1, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, -1, 1, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, -1, 0, 0, -1, -4, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 1, 3, -2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, -3, 1, 0, 0, 1, 1, 1, 1, -1, 1
OFFSET
1,26
FORMULA
a(n) = A328391(n) - A051903(n) = A051903(A327860(n)) - A051903(n).
PROG
(PARI)
A051903(n) = if((1==n), 0, vecmax(factor(n)[, 2]));
A327860(n) = { my(s=0, m=1, p=2, e); while(n, e = (n%p); m *= (p^e); s += (e/p); n = n\p; p = nextprime(1+p)); (s*m); };
A351074(n) = (A051903(A327860(n)) - A051903(n));
CROSSREFS
Cf. A351075 (positions of negative terms), A351076 (of terms >= 0), A351077 (their characteristic function).
Cf. also A350074.
Sequence in context: A092130 A029298 A262520 * A059835 A274659 A274661
KEYWORD
sign,base
AUTHOR
Antti Karttunen, Feb 01 2022
STATUS
approved