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

%I #18 Mar 21 2015 02:04:44

%S 1,1,2,3,16,25,216,343,4096,6561,100000,161051,2985984,4826809,

%T 105413504,170859375,4294967296,6975757441,198359290368,322687697779,

%U 10240000000000,16679880978201,584318301411328

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

%H Harry J. Smith, <a href="/A092503/b092503.txt">Table of n, a(n) for n = 0..500</a>

%F a(n) = n^((n-(1-(-1)^n)/2)/2). - _Wesley Ivan Hurt_, Mar 19 2015

%o (PARI) { for (n=0, 500, write("b092503.txt", n, " ", n^(n\2))); } \\ _Harry J. Smith_, Jun 21 2009

%Y Cf. A000312 (n^n), A078707 (n^ceiling(n/2)).

%K nonn

%O 0,3

%A _Reinhard Zumkeller_, Apr 05 2004