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 A338056 #13 Oct 14 2020 10:12:08 %S A338056 1,3,4,5,182735,243638,456498,578004,669156,1063563,1093967,1671118, %T A338056 1974220,2125785,2398346,2428677,3428717,3732005,4065453,4458923, %U A338056 4640700,8760267 %N A338056 Values of k where A336957(k)/k sets a new record. %C A338056 The factorizations of the a(n) values (which are in A338057) are %C A338056 1, (2) (3), (3) (5), (5) (7), (17) (90089), (17) (120121), %C A338056 (17) (225217), (17) (285287), (17) (330313), (17) (525529), %C A338056 (17) (540557), (17) (825821), (17) (975977), (17) (1051051), %C A338056 (17) (1186181), (17) (1201201), (17) (1696697), (17) (1846843), %C A338056 (17) (2012009), (17) (2207213), (19) (2297297), (19) (4339343), %C A338056 which suggests that both the current sequence and A338057 are infinite. %e A338056 Table showing records for A336957(k)/k: %e A338056 k A336957(k) A336957(k)/k %e A338056 1 1 1 %e A338056 3 6 2 %e A338056 4 15 3.75 %e A338056 5 35 7 %e A338056 182735 1531513 8.38106 %e A338056 243638 2042057 8.38152 %e A338056 456498 3828689 8.38709 %e A338056 578004 4849879 8.39074 %e A338056 669156 5615321 8.39165 %e A338056 1063563 8933993 8.40006 %e A338056 1093967 9189469 8.40013 %e A338056 1671118 14038957 8.40094 %e A338056 1974220 16591609 8.40413 %e A338056 2125785 17867867 8.4053 %e A338056 2398346 20165077 8.40791 %e A338056 2428677 20420417 8.40804 %e A338056 3428717 28843849 8.41243 %e A338056 3732005 31396331 8.41272 %e A338056 4065453 34204153 8.41337 %e A338056 4458923 37522621 8.41518 %e A338056 4640700 43648643 9.40562 %e A338056 8760267 82447517 9.41153 %Y A338056 Cf. A336957, A338057. %K A338056 nonn,more %O A338056 1,2 %A A338056 _Scott R. Shannon_ and _N. J. A. Sloane_, Oct 12 2020