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 A371240 #9 Mar 16 2024 05:22:19 %S A371240 1,3,7,6,8,15,14,24,31,18,36,24,31,42,90,42,44,84,57,93,98,54,68,126, %T A371240 144,72,140,96,80,186,133,186,224,156,252,132,160,204,266,150,152,300, %U A371240 158,240,378,192,306,240,252,312,212,378,324,264,230,432,450,234,432 %N A371240 The sum of divisors of the zeroless numbers in base 3 (A032924). %H A371240 Amiram Eldar, <a href="/A371240/b371240.txt">Table of n, a(n) for n = 1..10000</a> %H A371240 William D. Banks and Igor E. Shparlinski, <a href="http://dx.doi.org/10.4064/aa112-4-1">Arithmetic properties of numbers with restricted digits</a>, Acta Arithmetica, Vol. 112, No. 4 (2004), pp. 313-332; <a href="https://eudml.org/doc/278042">alternative link</a>. %F A371240 a(n) = A000203(A032924(n)). %F A371240 Asymptotic mean of the abundancy index of A032924: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k)/A032924(k) = 4*Pi^2/27 = 1.462163... (A214549) (Banks and Shparlinski, 2004). %t A371240 DivisorSigma[1, Select[Range[300], !MemberQ[IntegerDigits[#, 3], 0] &]] %o A371240 (PARI) lista(kmax) = for(k = 1, kmax, if(vecmin(digits(k, 3)) > 0, print1(sigma(k), ", "))); %Y A371240 Cf. A000203, A032924, A214549, A371239, A371241. %K A371240 nonn,base,easy %O A371240 1,2 %A A371240 _Amiram Eldar_, Mar 16 2024