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A054650 Nearest integer to 2^(n-1)/n. 6

%I #20 Sep 08 2022 08:45:01

%S 1,1,1,2,3,5,9,16,28,51,93,171,315,585,1092,2048,3855,7282,13797,

%T 26214,49932,95325,182361,349525,671089,1290555,2485513,4793490,

%U 9256395,17895697,34636833,67108864,130150524,252645135,490853405,954437177,1857283155,3616814565

%N Nearest integer to 2^(n-1)/n.

%H Vincenzo Librandi, <a href="/A054650/b054650.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = round(hypergeometric([-n/2+1/2, -n/2+1], [3/2], 1)). - _Peter Luschny_, Sep 18 2014

%t Table[Floor[2^(n-1)/n + 1/2], {n,40}] (* _Harvey P. Dale_, Jul 20 2011 *)

%o (Magma) [Floor(2^(n-1)/n + 1/2): n in [1..45]]; // _Vincenzo Librandi_, Jul 21 2011

%Y Cf. A006788, A000048.

%K nonn,easy

%O 1,4

%A _N. J. A. Sloane_, Apr 17 2000

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)