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A025621 Numbers of form 4^i*10^j, with i, j >= 0. 14

%I #14 Sep 25 2020 05:54:13

%S 1,4,10,16,40,64,100,160,256,400,640,1000,1024,1600,2560,4000,4096,

%T 6400,10000,10240,16000,16384,25600,40000,40960,64000,65536,100000,

%U 102400,160000,163840,256000,262144,400000,409600,640000,655360,1000000,1024000

%N Numbers of form 4^i*10^j, with i, j >= 0.

%H Charles R Greathouse IV, <a href="/A025621/b025621.txt">Table of n, a(n) for n = 1..10000</a>

%F Sum_{n>=1} 1/a(n) = (4*10)/((4-1)*(10-1)) = 40/27. - _Amiram Eldar_, Sep 25 2020

%F a(n) ~ exp(sqrt(2*log(4)*log(10)*n)) / sqrt(40). - _Vaclav Kotesovec_, Sep 25 2020

%t n = 10^6; Flatten[Table[4^i*10^j, {i, 0, Log[4, n]}, {j, 0, Log10[n/4^i]}]] // Sort (* _Amiram Eldar_, Sep 25 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<<=2)); Set(v) \\ _Charles R Greathouse IV_, Jan 10 2018

%Y Subsequence of A025612.

%K easy,nonn

%O 1,2

%A _David W. Wilson_

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)