cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A385683 Complement of A030511.

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%I A385683 #13 Aug 06 2025 12:03:49
%S A385683 1,3,4,5,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,
%T A385683 31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,
%U A385683 57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76
%N A385683 Complement of A030511.
%C A385683 Positive numbers not of the form floor(2*k^2/3).
%F A385683 a(n) = n+m if n+m>floor(2*(m+1)^2/3) and a(n) = n+m-1 otherwise where m = floor(sqrt(3*(n-1)/2)).
%t A385683 m[n_]:=Floor[Sqrt[3(n-1)/2]];a[n_]:=If[n+m[n]>Floor[2(m[n]+1)^2/3],n+m[n],n+m[n]-1];Array[a,67] (* _James C. McMahon_, Aug 06 2025 *)
%o A385683 (Python)
%o A385683 from math import isqrt
%o A385683 def A385683(n): return n+(m:=isqrt(3*(n-1)>>1))-(n+m<=((m+1)**2<<1)//3)
%Y A385683 Cf. A030511.
%K A385683 nonn,easy
%O A385683 1,2
%A A385683 _Chai Wah Wu_, Aug 04 2025