# This b-file was computed by Antti Karttunen, 2021-11-20
# in GP/PARI CALCULATOR Version 2.9.4 (released) amd64 running linux (x86-64/GMP-6.1.2 kernel) 64-bit version, compiled: Dec 19 2017, gcc version 7.3.0 (Ubuntu 7.3.0-1ubuntu1), threading engine: pthread
# with the following program:
#
# up_to = 20000;
# DirInverseCorrect(v) = { my(u=vector(#v)); u[1] = (1/v[1]); for(n=2, #v, u[n] = (-u[1]*sumdiv(n, d, if(d<n, v[n/d]*u[d], 0)))); (u) }; \\ Compute the Dirichlet inverse of the sequence given in input vector v.
# A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
# A129283(n) = (n+A003415(n));
# A230593(n) = sumdiv(n, d, ((1==d)||isprime(d))*(n/d));
# v349337 = DirInverseCorrect(vector(up_to,n,A230593(n)));
# A349337(n) = v349337[n];
# A349434(n) = sumdiv(n,d,A129283(n/d)*A349337(d));
# v347084 = DirInverseCorrect(vector(up_to,n,A129283(n)));
# A347084(n) = v347084[n];
# A349435(n) = sumdiv(n,d,A230593(n/d)*A347084(d));
# A349436(n) = (A349434(n) + A349435(n));
# for(n=1,20000,write("b349436.txt", n, " ", A349436(n)));
1 2
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36 12
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