A346239 Möbius transform of A341512, sigma(n)*A003961(n) - n*sigma(A003961(n)).

0, 1, 2, 10, 2, 33, 4, 74, 44, 55, 2, 278, 4, 115, 116, 490, 2, 613, 4, 498, 242, 169, 6, 1942, 92, 265, 742, 1046, 2, 1591, 6, 3086, 344, 355, 330, 4986, 4, 487, 542, 3570, 2, 3347, 4, 1638, 2326, 737, 6, 12542, 376, 2121, 716, 2546, 6, 9869, 388, 7510, 986, 943, 2, 12894, 6, 1225, 4872, 18970, 630, 5353, 4, 3498, 1492

Offset

1,3

Links

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

Index entries for primes, gaps between

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to sigma(n)

Formula

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

a(n) = A341512(n) - A346240(n).

a(n) = A347125(n) - A347124(n). - Antti Karttunen, Aug 25 2021

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));
A346239(n) = sumdiv(n, d, moebius(n/d)*A341512(d));

Crossrefs

Cf. A000203, A003961, A008683, A341528, A341529, A341512, A346240, A347096, A347124, A347125.

Cf. also the sequences A001359, A029710, A031924 that give the positions of 2's, 4's and 6's in this sequence, or at least subsets of such positions.

Sequence in context: A121521 A280033 A347096 * A188635 A246479 A359694

Adjacent sequences: A346236 A346237 A346238 * A346240 A346241 A346242

Keyword

nonn

Author

Antti Karttunen, Jul 13 2021

Status

approved