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 A353034 #8 May 07 2022 10:40:02 %S A353034 20118,20712,79338,103410,203898,267630,570342,907710,1093026,1228062, %T A353034 1263918,1663752,2322760,3268782,3468486,3527250,5483418,6277038, %U A353034 6500442,7637980,9181578,9297078,17708178,18638646,25274946,25364526,25768302,25909254,31118664 %N A353034 Numbers m such that tau(m) = 2 * tau(m + 1) and simultaneously sigma(m) = 2 * sigma(m + 1), where tau(k) = A000005(k) and sigma(k) = A000203(k). %C A353034 Corresponding values of tau(m): 16, 16, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 32, ... %C A353034 Corresponding values of sigma(m): 46080, 51840, 181440, 276480, 432000, 701568, 1200960, 2211840, ... %e A353034 tau(20118) = 16 = 2 * tau(20119) = 2 * 8, sigma(20118) = 46080 = 2 * sigma(20119) = 2 * 23040. %o A353034 (Magma) [m: m in [2..10^6] | #Divisors(m) eq 2 * #Divisors(m + 1) and &+Divisors(m) eq 2 * &+Divisors(m + 1)] %Y A353034 Cf. A000005 (tau), A000203 (sigma), A054004, A347603, A353033. %Y A353034 Subsequence of A163193. %K A353034 nonn %O A353034 1,1 %A A353034 _Jaroslav Krizek_, Apr 18 2022