login
A300823
Difference between A244042 and its Möbius transform.
4
0, 1, 1, 0, 1, 2, 1, 4, 3, 2, 1, 4, 1, 0, 5, 0, 1, 6, 1, 14, 3, 8, 1, 8, 3, 12, 9, 16, 1, 14, 1, 10, 11, 8, 3, 12, 1, 0, 15, -4, 1, 12, 1, 8, 15, 2, 1, 10, 1, 8, 11, 4, 1, 18, 11, 24, 3, 26, 1, 28, 1, 30, 9, 30, 15, 20, 1, 32, 5, 46, 1, 24, 1, 36, 7, 40, 9, 24, 1, 50, 27, 38, 1, 60, 11, 36, 29, 32, 1, 42, 13, 32, 33, 26, 3, 50, 1
OFFSET
1,6
LINKS
FORMULA
a(n) = A244042(n) - A300821(n).
a(n) = -Sum_{d|n, d<n} A008683(n/d)*A244042(d) = Sum_{d|n, d<n} A300821(d).
a(n) = A051953(n) - A300824(n).
MATHEMATICA
f[n_] := FromDigits[IntegerDigits[n, 3] /. 2 -> 0, 3]; Table[f@ n - DivisorSum[n, MoebiusMu[n/#] f@ # &], {n, 97}] (* Michael De Vlieger, Mar 17 2018 *)
PROG
(PARI)
A244042(n) = fromdigits(apply(x->(x%2), digits(n, 3)), 3);
A300823(n) = -sumdiv(n, d, (d<n)*moebius(n/d)*A244042(d));
CROSSREFS
KEYWORD
sign,base
AUTHOR
Antti Karttunen, Mar 14 2018
STATUS
approved