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Sum of A358764 and its Dirichlet inverse.
2

%I #12 Jan 02 2023 16:48:22

%S 2,0,0,4,0,12,0,16,9,36,0,16,0,20,54,20,0,30,0,120,30,180,0,20,81,100,

%T 63,200,0,228,0,544,270,900,90,446,0,500,150,820,0,1660,0,3000,477,

%U 4500,0,2760,25,2554,1350,5000,0,7788,810,14900,750,22500,0,936,0,28,2265,-12,450,3324,0,168,6750

%N Sum of A358764 and its Dirichlet inverse.

%H Antti Karttunen, <a href="/A359428/b359428.txt">Table of n, a(n) for n = 1..11550</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%F a(n) = A358764(n) + A359427(n).

%F a(1) = 2, and for n > 1, a(n) = -Sum_{d|n, 1<d<n} A358764(d) * A359427(n/d).

%o (PARI) A359428(n) = (A358764(n)+A359427(n)); \\ Uses the program given in A359427.

%Y Cf. A060681, A276086, A358764, A359427.

%Y Cf. A053850 (positions of odd terms), A353569 (parity of terms).

%Y Cf. also A342419.

%K sign,base,look

%O 1,1

%A _Antti Karttunen_, Jan 02 2023