A034777 Dirichlet convolution of [ 1,1,1,... ] with Ramanujan numbers (A000594).

1, -23, 253, -1495, 4831, -5819, -16743, 82985, -113390, -111113, 534613, -378235, -577737, 385089, 1222243, 1070121, -6905933, 2607970, 10661421, -7222345, -4235979, -12296099, 18643273, 20995205, -25494394, 13287951

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign
• mult

Comments

Multiplicative because both A000012 and A000594 are. - Christian G. Bower, May 16 2005

Inverse Moebius transform of A000594. - Amiram Eldar, Jan 10 2025

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000594.

Programs

Mathematica

Table[DivisorSum[k, RamanujanTau], {k, 50}] (* Jan Mangaldan, Mar 15 2013 *)

PARI

a(n) = sumdiv(n, d, ramanujantau(d)); \\ Amiram Eldar, Jan 10 2025