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A346240 Difference between A341512 and its Möbius transform. 3
0, 0, 0, 1, 0, 3, 0, 11, 2, 3, 0, 46, 0, 5, 4, 85, 0, 80, 0, 68, 6, 3, 0, 398, 2, 5, 46, 130, 0, 209, 0, 575, 4, 3, 6, 981, 0, 5, 6, 640, 0, 397, 0, 182, 164, 7, 0, 2830, 4, 150, 4, 280, 0, 1435, 4, 1250, 6, 3, 0, 2586, 0, 7, 292, 3661, 6, 551, 0, 368, 8, 507, 0, 7983, 0, 5, 212, 502, 6, 847, 0, 4700, 788, 3, 0, 5078, 4, 5, 4, 1894 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to sigma(n)

FORMULA

a(n) = -Sum_{d|n, d<n} A008683(n/d) * A341512(d).

a(n) = A341512(n) - A346239(n).

PROG

(PARI)

A003961(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); }; \\ From A003961

A341528(n) = (n*sigma(A003961(n)));

A341529(n) = (sigma(n)*A003961(n));

A341512(n) = (A341529(n)-A341528(n));

A346240(n) = -sumdiv(n, d, (d<n)*moebius(n/d)*A341512(d));

CROSSREFS

Cf. A000203, A003961, A008683, A341528, A341529, A341512, A346239.

Cf. also A347097.

Sequence in context: A215587 A094897 A252096 * A216470 A182259 A211802

Adjacent sequences:  A346237 A346238 A346239 * A346241 A346242 A346243

KEYWORD

nonn,look

AUTHOR

Antti Karttunen, Jul 13 2021

STATUS

approved

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Last modified September 25 14:37 EDT 2022. Contains 356984 sequences. (Running on oeis4.)