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a(n) = 1 + floor(n/sqrt(6)).
6

%I #15 Sep 08 2022 08:45:58

%S 1,1,2,2,3,3,3,4,4,5,5,5,6,6,7,7,7,8,8,9,9,9,10,10,11,11,12,12,12,13,

%T 13,14,14,14,15,15,16,16,16,17,17,18,18,18,19,19,20,20,21,21,21,22,22,

%U 23,23,23,24,24,25,25,25,26,26,27,27,27,28,28,29,29,29,30,30,31

%N a(n) = 1 + floor(n/sqrt(6)).

%H Vincenzo Librandi, <a href="/A194986/b194986.txt">Table of n, a(n) for n = 1..10000</a>

%t p[n_]:=1+Floor[n/Sqrt[6]]

%t Table[p[n],{n,1,90}] (* A194986 *)

%o (Magma) [1+Floor(n/Sqrt(6)): n in [1..80] ]; // _Vincenzo Librandi_, Sep 10 2011

%o (PARI) a(n)=1+sqrtint(n^2\6) \\ _Charles R Greathouse IV_, Sep 02 2015

%Y Cf. A194987, A194988, A194989.

%K nonn

%O 1,3

%A _Clark Kimberling_, Sep 07 2011