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 A178448 Dirichlet inverse of A001160, sigma_5. 2
 1, -33, -244, 32, -3126, 8052, -16808, 0, 243, 103158, -161052, -7808, -371294, 554664, 762744, 0, -1419858, -8019, -2476100, -100032, 4101152, 5314716, -6436344, 0, 3125, 12252702, 0, -537856, -20511150 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA Dirichlet g.f. 1/(zeta(s)*zeta(s-5)). - R. J. Mathar, Mar 10 2011 a(n) = Sum_{d|n} mu(n/d)*mu(d)*d^5. - Ilya Gutkovskiy, Nov 06 2018 MATHEMATICA a[1] = 1; a[n_] := a[n] = -Sum[ DivisorSigma[5, n/d] a[d], {d, Most @ Divisors[n]}]; Table[a[n], {n, 1, 29}] (* Jean-François Alcover, Jun 24 2013 *) PROG (PARI) A178448_vec(len)={         a063524=vector(len) ; a063524[1] = 1 ;         a001160=direuler(p=2, len, 1/(1-p^5*X)/(1-X)) ;         dirdiv(a063524, a001160) ; } { A178448_vec(70) } /* R. J. Mathar, Mar 10 2011 */ (PARI) a(n) = sumdiv(n, d, moebius(n/d)*moebius(d)*d^5); \\ Michel Marcus, Nov 06 2018 CROSSREFS Cf. A001160, A053825, A053826. Sequence in context: A075040 A274639 A306879 * A088703 A321561 A034679 Adjacent sequences:  A178445 A178446 A178447 * A178449 A178450 A178451 KEYWORD sign,mult AUTHOR R. J. Mathar, Dec 22 2010 STATUS approved

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Last modified August 7 08:08 EDT 2020. Contains 336274 sequences. (Running on oeis4.)