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 A090055 #4 Jun 08 2025 16:15:42 %S A090055 105,108,405,510,540,702,703,810,1001,1005,1008,1020,1050,1053,1080, %T A090055 2002,2016,2025,2040,2050,2079,2100,2106,3003,3024,3042,3045,3060, %U A090055 3105,3402,3510,4004,4005,4050,4070,4080,4200,5005,5010,5040 %N A090055 Numbers n divisible by at least one nontrivial permutation (rearrangement) of the digits of n. %C A090055 Trivial permutations are identified as (1) permutation = n, or (2) when n mod 10=0, permutations of n's digits which result in shifting only trailing zeros to the most significant side of n where they drop off, such that permutation = n/10^z, where z <= the number of trailing zeros of n. So if n were 1809000, the following permutations would be excluded as trivial: 1809000, 0180900, 0018090, 0001809. %C A090055 A031877 (numbers which are multiples of their reversals) and both A084687 and A090053 (numbers divided by number formed by sorting their digits), are subsets of this sequence. This sequence differentiates itself by including terms such as 7425 which is divided by 2475 (a rearrangement of 7425's digits that is neither a reversal or an ascending sort.) %H A090055 C. Seggelin, <a href="http://www.plastereddragon.com/maths/asortdiv.htm">Numbers Divisible by Digit Permutations</a>. %e A090055 a(27)=3045 because 3045 is divisible by 435, a nontrivial permutation of 3045. (0435) %Y A090055 Cf. A031877, A084687, A090056, A090057, A090058, A090059, A090060. %K A090055 base,nonn %O A090055 1,1 %A A090055 _Chuck Seggelin_, Nov 21 2003