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a(n) = nearest integer to sqrt(10^n/log(10^n)).
1

%I #11 Jan 05 2013 20:48:17

%S 2,5,12,33,93,269,788,2330,6947,20840,62834,190240,577990,1761279,

%T 5380796,16475256,50543777,155330201,478096270,1473591670,4547602623,

%U 14050145290,43453847676,134519899690,416794664987,1292425391245,4010608533780,12454122695249

%N a(n) = nearest integer to sqrt(10^n/log(10^n)).

%C The terms 2, 5, 12, 33 are found in other sequences.

%H Vladimir Pletser, <a href="/A221206/b221206.txt">Table of n, a(n) for n = 1..100</a>

%F a(n) = round(sqrt(10^n / log(10^n))).

%p a:=n-> round(sqrt((10^n)/ln(10^n))): seq(a(n), n=1..30);

%K easy,nonn

%O 1,1

%A _Vladimir Pletser_, Jan 04 2013