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A318448 a(n) = Sum_{d|n} A294898(d), where A294898(d) = A005187(d) - sigma(d). 3
0, 0, 0, 0, 2, -2, 3, 0, 3, 2, 7, -8, 9, 4, 4, 0, 14, -4, 15, -2, 10, 12, 18, -22, 18, 16, 13, 1, 24, -14, 25, 0, 23, 26, 24, -31, 33, 28, 27, -14, 37, -6, 38, 13, 15, 34, 41, -52, 41, 22, 40, 19, 48, -10, 42, -10, 45, 46, 53, -76, 55, 48, 29, 0, 55, 12, 63, 34, 57, 18, 66, -98, 69, 64, 42, 37, 64, 16, 73, -42, 51, 72, 78, -74, 74, 74, 73, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Inverse Möbius transform of A294898.

LINKS

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

FORMULA

a(n) = Sum_{d|n} A294898(d).

a(n) = A318447(n) + A294898(n).

a(n) = A318446(n) - A007429(n).

a(n) = A296075(n) - A093653(n).

PROG

(PARI)

A005187(n) = { my(s=n); while(n>>=1, s+=n); s; };

A294898(n) = (A005187(n) - sigma(n));

A318448(n) = sumdiv(n, d, A294898(d));

CROSSREFS

Cf. A000203, A005187, A007429, A093653, A294898, A296075, A318446, A318447.

Cf. also A297114, A317844.

Sequence in context: A125093 A294898 A297114 * A103516 A233558 A319929

Adjacent sequences:  A318445 A318446 A318447 * A318449 A318450 A318451

KEYWORD

sign

AUTHOR

Antti Karttunen, Aug 27 2018

STATUS

approved

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Last modified May 7 11:32 EDT 2021. Contains 343650 sequences. (Running on oeis4.)