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 A074794 #25 Feb 02 2025 02:12:36 %S A074794 1,1,1,1,1,2,2,3,3,4,4,4,4,5,6,6,6,6,6,6,7,8,8,8,8,9,10,10,10,10,10, %T A074794 10,11,12,13,13,13,14,15,15,15,15,15,15,15,16,16,17,17,17,18,18,18,18, %U A074794 19,19,20,21,21,21,21,22,22,23,24,24,24,24,25,25,25,25,25,26,26,26,27,27 %N A074794 Number of numbers k <= n such that tau(k) == 1 (mod 3) where tau(k) = A000005(k) is the number of divisors of k. %H A074794 Amiram Eldar, <a href="/A074794/b074794.txt">Table of n, a(n) for n = 1..10000</a> %F A074794 a(n) is asymptotic to c*n with c = 0.36.... %F A074794 The constant is conjecturally 3*zeta(3)/Pi^2 = 0.3653814847007... (A346602). See A211337 for more details. - _Amiram Eldar_, Feb 01 2025 %t A074794 Accumulate[Table[Boole[Mod[DivisorSigma[0, n], 3] == 1], {n, 1, 100}]] (* _Amiram Eldar_, Aug 29 2020 *) %o A074794 (PARI) a(n)=sum(k=1,n,if(numdiv(k)%3-1,0,1)) %Y A074794 Cf. A000005, A074795, A074796, A211337, A346602. %K A074794 nonn %O A074794 1,6 %A A074794 _Benoit Cloitre_, Sep 07 2002