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 A055713 #26 Feb 25 2024 05:58:06 %S A055713 1,6,38,42,54,114,120,135,168,190,216,222,266,270,280,285,312,342,378, %T A055713 456,496,540,570,672,728,760,798,840,888,945,1026,1064,1080,1140,1330, %U A055713 1512,1554,1560,1710,1782,1806,1862,1890,1962,1976,1995,1998,2160,2166 %N A055713 Numbers k such that k | sigma_9(k). %C A055713 sigma_9(k) is the sum of the 9th powers of the divisors of k (A013957). %C A055713 Problem 11090 proves that this sequence is infinite. - _T. D. Noe_, Apr 18 2006 %H A055713 Amiram Eldar, <a href="/A055713/b055713.txt">Table of n, a(n) for n = 1..10000</a> %H A055713 Florian Luca and John Ferdinands, <a href="http://www.jstor.org/stable/27641939">Problem 11090: Sometimes n divides sigma_k(n)</a>, Amer. Math. Monthly 113:4 (2006), pp. 372-373. %t A055713 Do[If[Mod[DivisorSigma[9, n], n]==0, Print[n]], {n, 1, 5000}] %o A055713 (PARI) is(n)=sigma(n,9)%n==0 \\ _Charles R Greathouse IV_, Feb 04 2013 %Y A055713 Cf. A013957. %Y A055713 Cf. A055709, A055710, A055711, A055712. %K A055713 nonn %O A055713 1,2 %A A055713 _Robert G. Wilson v_, Jun 09 2000