# This b-file was computed by Antti Karttunen, 2020-02-12 # 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: # # default(parisizemax,2^31); # A048675(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*2^primepi(f[k, 1]))/2; }; # A331736(n) = if(1==n,1,my(f=factor(n),u=#binary(vecmax(f[, 2])),prods=vector(u,x,1),m=2,e); for(i=2,u,for(k=1,#f~, if(bitand(f[k,2],m),prods[i] *= f[k,1])); m<<=1); prod(i=2,u,prime(i)^A048675(prods[i]))); # for(n=1,1680,write("b331736.txt", n, " ", A331736(n))); 1 1 2 1 3 1 4 3 5 1 6 1 7 1 8 3 9 9 10 1 11 1 12 3 13 1 14 1 15 1 16 5 17 1 18 9 19 1 20 3 21 1 22 1 23 1 24 3 25 81 26 1 27 9 28 3 29 1 30 1 31 1 32 5 33 1 34 1 35 1 36 27 37 1 38 1 39 1 40 3 41 1 42 1 43 1 44 3 45 9 46 1 47 1 48 5 49 6561 50 81 51 1 52 3 53 1 54 9 55 1 56 3 57 1 58 1 59 1 60 3 61 1 62 1 63 9 64 15 65 1 66 1 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