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A025629 Numbers of form 6^i*10^j with i, j >= 0. 12

%I #12 Sep 26 2020 03:54:20

%S 1,6,10,36,60,100,216,360,600,1000,1296,2160,3600,6000,7776,10000,

%T 12960,21600,36000,46656,60000,77760,100000,129600,216000,279936,

%U 360000,466560,600000,777600,1000000,1296000,1679616,2160000,2799360,3600000,4665600

%N Numbers of form 6^i*10^j with i, j >= 0.

%H Amiram Eldar, <a href="/A025629/b025629.txt">Table of n, a(n) for n = 1..10000</a>

%F Sum_{n>=1} 1/a(n) = (6*10)/((6-1)*(10-1)) = 4/3. - _Amiram Eldar_, Sep 26 2020

%F a(n) ~ exp(sqrt(2*log(6)*log(10)*n)) / sqrt(60). - _Vaclav Kotesovec_, Sep 26 2020

%t n = 10^6; Flatten[Table[6^i*10^j, {i, 0, Log[6, n]}, {j, 0, Log10[n/6^i]}]] // Sort (* _Amiram Eldar_, Sep 26 2020 *)

%o (PARI) list(lim)=my(v=List(), N); for(n=0, logint(lim\=1, 10), N=10^n; while(N<=lim, listput(v, N); N*=6)); Set(v) \\ _Charles R Greathouse IV_, Jan 10 2018

%Y Cf. A025610, A025618, A025622, A025626, A025627, A025628.

%Y Cf. A025612, A025616, A025621, A025625, A025632, A025634.

%K easy,nonn

%O 1,2

%A _David W. Wilson_

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