A097882 - OEIS

%I #13 Aug 29 2024 21:34:08

%S 0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,

%T 8,8,8,8,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,12,12,12,12,

%U 13,13,12,13,13,13,13,13,13,14,14,14,14,14,14,15,15,15,15,15,15,15,15,16

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

%H G. C. Greubel, <a href="/A097882/b097882.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = floor(A000290(n)/A000040(n)).

%F A000290(n) = a(n)*A000040(n) + A069547(n).

%t Table[Floor[n^2/Prime[n]], {n,1,50}] (* _G. C. Greubel_, May 21 2017 *)

%o (PARI) for(n=1,50, print1(floor(n^2/prime(n)), ", ")) \\ _G. C. Greubel_, May 21 2017

%Y Cf. A000040, A000290, A001221, A069547.

%K nonn,easy

%O 1,4

%A _Reinhard Zumkeller_, Sep 02 2004