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n + floor(3*sqrt(n+1)).
0

%I #13 Jul 11 2014 18:06:00

%S 5,7,9,10,12,13,15,17,18,19,21,22,24,25,27,28,29,31,32,33,35,36,37,39,

%T 40,41,42,44,45,46,47,49,50,51,53,54,55,56,57,59,60,61,62,64,65,66,67,

%U 69,70,71,72,73,75,76,77,78,79,81,82,83,84,85,87,88,89,90,91,92,94,95,96,97,98,99,101,102,103,104,105,107,108,109,110,111,112,113,115,116,117,118,119,120,122,123,124,125,126,127,129,130

%N n + floor(3*sqrt(n+1)).

%F a(n) = n + floor(3*sqrt(n+1))

%t a=9; b=9;

%t Table[n+Floor[(a*n+b)^(1/2)],{n,100}]

%t #+Floor[3*Sqrt[#+1]]&/@Range[150] (* _Harvey P. Dale_, Jul 11 2014 *)

%Y Cf. A184016, A184108.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Jan 09 2011