A346240 Difference between A341512 and its Möbius transform.

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

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