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 A349624 Dirichlet convolution of A326042 with A055615 (Dirichlet inverse of n), where A326042(n) = A064989(sigma(A003961(n))). 4
 1, -1, -1, 9, -4, 1, -5, -19, 23, 4, -6, -9, -9, 5, 4, 43, -14, -23, -17, -36, 5, 6, -17, 19, 29, 9, -65, -45, -28, -4, -14, -43, 6, 14, 20, 207, -27, 17, 9, 76, -34, -5, -41, -54, -92, 17, -39, -43, 71, -29, 14, -81, -47, 65, 24, 95, 17, 28, -30, 36, -48, 14, -115, 981, 36, -6, -63, -126, 17, -20, -40, -437, -70, 27 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Multiplicative because A055615 and A326042 are. LINKS Antti Karttunen, Table of n, a(n) for n = 1..20000 Index entries for sequences computed from indices in prime factorization Index entries for sequences related to sigma(n) FORMULA a(n) = Sum_{d|n} A055615(d) * A326042(n/d). For all n >= 1, Sum_{d|n, d1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)}; A326042(n) = A064989(sigma(A003961(n))); A349624(n) = sumdiv(n, d, A055615(n/d)*A326042(d)); CROSSREFS Cf. A000203, A003961, A055615, A064989, A326042, A349625 (Dirichlet inverse), A349626. Cf. also A348736, A349573. Sequence in context: A098454 A298531 A154206 * A094881 A019751 A154837 Adjacent sequences: A349621 A349622 A349623 * A349625 A349626 A349627 KEYWORD sign,mult AUTHOR Antti Karttunen, Nov 26 2021 STATUS approved

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Last modified September 8 18:41 EDT 2024. Contains 375753 sequences. (Running on oeis4.)