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a(n) ~ exp(sqrt(2*log(7)*log(10)*n)) / sqrt(70). - Vaclav Kotesovec, Sep 25 2020
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n = 10^6; Flatten[Table[7^i*10^j, {i, 0, Log[7, n]}, {j, 0, LogLog10[10, n/7^i]}]] // Sort (* Amiram Eldar, Sep 25 2020 *)
Sum_{n>=1} 1/a(n) = (7*10)/((7-1)*(10-1)) = 35/27. - Amiram Eldar, Sep 25 2020
n = 10^6; Flatten[Table[7^i*10^j, {i, 0, Log[7, n]}, {j, 0, Log[10, n/7^i]}]] // Sort (* Amiram Eldar, Sep 25 2020 *)
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(PARI) list(lim)=my(v=List(), N); for(n=0, logint(lim\=1, 10), N=10^n; while(N<=lim, listput(v, N); N*=7)); Set(v) \\ Charles R Greathouse IV, Jan 10 2018
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