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a(n) = floor(n^sqrt(Pi)).
2

%I #15 Jun 17 2022 14:36:35

%S 1,3,7,11,17,23,31,39,49,59,70,81,94,107,121,136,151,167,184,202,220,

%T 239,259,279,300,322,344,367,390,415,439,465,491,518,545,573,601,631,

%U 660,691,722,753,785,818,851,885,919,954,990,1026,1063,1100,1138,1176

%N a(n) = floor(n^sqrt(Pi)).

%H William A. Tedeschi, <a href="/A134707/b134707.txt">Table of n, a(n) for n = 1..10000</a>

%t Table[Floor[n^Sqrt[Pi]], {n, 100}] (* _Stefan Steinerberger_, Jan 28 2008 *)

%o (PARI) a(n)=n^sqrt(Pi)\1 \\ _Charles R Greathouse IV_, Feb 06 2015

%K nonn

%O 1,2

%A _Rolf Pleisch_, Jan 27 2008

%E More terms from _Stefan Steinerberger_, Jan 28 2008