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A178448 Dirichlet inverse of A001160, sigma_5. 0
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

Table of n, a(n) for n=1..29.

FORMULA

Dirichlet g.f. 1/(zeta(s)*zeta(s-5)). - R. J. Mathar, Mar 10 2011

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 */

CROSSREFS

Cf. A053825, A053826.

Sequence in context: A142993 A230186 A075040 * A088703 A034679 A017673

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 December 22 06:27 EST 2014. Contains 252328 sequences.