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.
%I A180160 #10 Jul 30 2025 16:43:13 %S A180160 0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0, %T A180160 1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1, %U A180160 0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,2,0,1,2 %N A180160 (sum of digits) mod (number of digits) of n in decimal representation. %C A180160 a(n) = A007953(n) mod A055642(n); %C A180160 a(A061383(n)) = 0; a(A180157(n)) > 0; %C A180160 a(repdigits)=0: a(A010785(n))=0: a(A002275(n))=0: a(A002276(n))=0: a(A002277(n))=0: a(A002278(n))=0: a(4(n))=0: a(A002279(n))=0: a(A002280(n))=0: a(A002281(n))=0: a(A002282(n))=0: a(A002283(n))=0; %C A180160 A123522 gives smallest m such that a(m) = n. %H A180160 Reinhard Zumkeller, <a href="/A180160/b180160.txt">Table of n, a(n) for n = 0..25000</a> %t A180160 A180160[n_] := If[n == 0, 0, Mod[Total[#], Length[#]] & [IntegerDigits[n]]]; %t A180160 Array[A180160, 100, 0] (* _Paolo Xausa_, Jun 30 2024 *) %t A180160 Join[{0},Table[Mod[Total[IntegerDigits[n]],IntegerLength[n]],{n,110}]] (* _Harvey P. Dale_, Jul 30 2025 *) %Y A180160 Cf. A002275-A002283, A007953, A010785, A055642, A061383, A123522, A180157, A374097. %K A180160 base,nonn %O A180160 0,102 %A A180160 _Reinhard Zumkeller_, Aug 15 2010