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Floor( product_{k = 1..n} k^(1/k) ).
1

%I #16 Mar 09 2014 04:53:58

%S 1,1,2,2,3,5,7,9,11,14,18,22,27,33,39,47,55,65,76,89,102,118,135,154,

%T 176,199,225,254,285,319,357,398,442,491,543,600,661,728,800,877,960,

%U 1050,1146,1249,1359,1477,1603,1738,1881,2034,2197,2371,2555,2751,2959

%N Floor( product_{k = 1..n} k^(1/k) ).

%H Harry J. Smith, <a href="/A061565/b061565.txt">Table of n, a(n) for n=1,...,500</a>

%p A061565:=n->floor(mul(k^(1/n), k=1..n)); seq(A061565(n), n=1..60); # _Wesley Ivan Hurt_, Mar 04 2014

%t Table[Floor[Product[k^(1/k), {k, n}]], {n, 60}] (* _Wesley Ivan Hurt_, Mar 04 2014 *)

%o (PARI) { default(realprecision, 100); for (n=1, 500, write("b061565.txt", n, " ", floor(prod(k=1, n, k^(1/k)))) ) } \\ _Harry J. Smith_, Jul 24 2009

%K easy,nonn

%O 1,3

%A _Leroy Quet_, May 18 2001