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A066642 a(n) = floor(n^(n/2)). 6

%I #26 Nov 01 2022 07:12:55

%S 1,2,5,16,55,216,907,4096,19683,100000,534145,2985984,17403307,

%T 105413504,661735513,4294967296,28761784747,198359290368,

%U 1406563064942,10240000000000,76436817165460,584318301411328,4569515072723572

%N a(n) = floor(n^(n/2)).

%H Harry J. Smith, <a href="/A066642/b066642.txt">Table of n, a(n) for n = 1..150</a>

%e a(5) = 55 as {5^(1/2)}^5 = 55.9016994374947424102293417182819...

%t Table[ Floor[Sqrt[n]^n], {n, 1, 25} ]

%o (PARI) a(n) = sqrtint(n^n); \\ _Michel Marcus_, Nov 01 2022

%o (Magma) [Floor(n^(n/2)): n in [1..25]]; // _G. C. Greubel_, Dec 30 2017

%Y Cf. A147771, A190343.

%K easy,nonn

%O 1,2

%A _Amarnath Murthy_, Dec 29 2001

%E More terms from _Robert G. Wilson v_, Jan 03 2002

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)