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Complement of A014105.
2

%I #40 Nov 04 2024 22:03:18

%S 1,2,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,

%T 29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,

%U 53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86

%N Complement of A014105.

%F a(n) = n + floor(sqrt((n-1)/2)) = n + A339183(n-1). - _Aaron J Grech_, Jul 30 2024

%t a=2; b=1;

%t F[n_]:=a*n^2+b*n;

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

%t G[n_]:=n-1+Ceiling[R[n]-(b-1)/(2a)];

%t Table[G[n], {n,100}]

%o (Python)

%o from math import isqrt

%o def A183301(n): return n+isqrt(n-1>>1) # _Chai Wah Wu_, Nov 04 2024

%Y Cf. A014105, A339183.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jan 03 2011