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 A095849 #42 Sep 20 2022 14:23:58 %S A095849 1,2,4,6,12,24,48,60,120,240,360,840,1680,2520,5040,10080,15120,25200, %T A095849 27720,55440,110880,166320,277200,720720,1441440,2162160,3603600, %U A095849 7207200,10810800,36756720,61261200,122522400,183783600,698377680 %N A095849 Numbers j where sigma_k(j) increases to a record for all real values of k. %C A095849 For any value of k, sigma_k(j) > sigma_k(m) for all m < j, where the function sigma_k(j) is the sum of the k-th powers of all divisors of j. %C A095849 Conjecture: a number is in this sequence if and only if it is in both A002182 and A095848. - _J. Lowell_, Jun 21 2008 %H A095849 T. D. Noe, <a href="/A095849/b095849.txt">Table of n, a(n) for n = 1..74</a> (complete) [I assume this is only conjectured to be complete. - _N. J. A. Sloane_, Jan 02 2019] %Y A095849 Cf. A002093 (highly abundant numbers), A002182 (highly composite numbers) and A004394 (superabundant numbers), consisting of numbers that establish records for sigma_k(j) where k equals 1, 0 and -1 respectively. See also A095848. %Y A095849 Cf. also A166981 (numbers that establish records for both k=0 and k=-1). %K A095849 nonn %O A095849 1,2 %A A095849 _Matthew Vandermast_, Jun 09 2004 %E A095849 Extended by _T. D. Noe_, Apr 22 2010 %E A095849 Corrected by _T. D. Noe_ and _Matthew Vandermast_, Oct 04 2010 %E A095849 Removed keyword "fini", since it appears that as yet there is no proof. - _N. J. A. Sloane_, Sep 17 2022