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n + floor(sqrt(n) + sqrt(n+1)); complement of A184674.
2

%I #16 Mar 01 2014 11:57:51

%S 3,5,6,8,9,11,12,13,15,16,17,19,20,21,22,24,25,26,27,29,30,31,32,33,

%T 35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,

%U 61,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,80,81,82,83

%N n + floor(sqrt(n) + sqrt(n+1)); complement of A184674.

%F a(n) = n + floor(sqrt(n) + sqrt(n+1)).

%F a(n) = n + floor(sqrt(4*n + 1)). [_Mircea Merca_, Feb 05 2012]

%p A184675:=n->n + floor(sqrt(4*n + 1)); seq(A184675(n), n=1..50); # _Wesley Ivan Hurt_, Mar 01 2014

%t a[n_]:=n+Floor[(n/2-1/(2n))^2];

%t b[n_]:=n+Floor[n^(1/2)+(n+1)^(1/2)];

%t Table[a[n],{n,1,120}] (* A184674 *)

%t Table[b[n],{n,1,120}] (* A184675 *)

%Y Cf. A183867, A184674.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Jan 19 2011