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.

A088673 a(n) = n mod A002024(n), where A002024 is "n appears n times": 1, 2, 2, 3, 3, 3, ...

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%I A088673 #12 Nov 07 2024 15:47:50
%S A088673 0,0,1,1,2,0,3,0,1,2,1,2,3,4,0,4,5,0,1,2,3,1,2,3,4,5,6,0,5,6,7,0,1,2,
%T A088673 3,4,1,2,3,4,5,6,7,8,0,6,7,8,9,0,1,2,3,4,5,1,2,3,4,5,6,7,8,9,10,0,7,8,
%U A088673 9,10,11,0,1,2,3,4,5,6,1,2,3,4,5,6,7,8,9,10,11,12,0,8,9,10,11,12,13,0,1,2
%N A088673 a(n) = n mod A002024(n), where A002024 is "n appears n times": 1, 2, 2, 3, 3, 3, ...
%e A088673 a(7) = 3: A002024(7) = 4 and 7 mod 4 = 3.
%t A088673 Table[Mod[n,Floor[1/2+Sqrt[2n]]],{n,100}] (* _Harvey P. Dale_, Feb 09 2013 *)
%o A088673 (Python)
%o A088673 from math import isqrt
%o A088673 def A088673(n): return n%((m:=isqrt(k:=n<<1))+(k>m*(m+1))) # _Chai Wah Wu_, Nov 07 2024
%Y A088673 Cf. A002024.
%K A088673 nonn,easy
%O A088673 1,5
%A A088673 _Gary W. Adamson_, Oct 04 2003
%E A088673 Corrected and extended by _Ray Chandler_, Oct 04 2003
%E A088673 Corrected offset by _Chai Wah Wu_, Nov 07 2024