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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

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

Cf. A008683, A051953, A244042, A300821, A300824, A300825.

Sequence in context: A109977 A201199 A318459 * A175702 A303781 A216377

Adjacent sequences:  A300820 A300821 A300822 * A300824 A300825 A300826

KEYWORD

sign,base

AUTHOR

Antti Karttunen, Mar 14 2018

STATUS

approved

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Last modified July 12 18:03 EDT 2020. Contains 335666 sequences. (Running on oeis4.)