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 A272082 #13 Apr 30 2016 17:17:59 %S A272082 1,6,3,2,6,3,2,1,12,6,4,2,12,6,4,2,1,15,10,3,2,15,10,3,2,1,15,12,10,4, %T A272082 2,15,12,10,4,2,1,15,12,10,6,4,3,15,12,10,6,4,3,1,18,9,3,2,18,9,3,2,1, %U A272082 18,12,9,4,2,18,12,9,4,2,1,18,12,9,6,4,3,18,12 %N A272082 Irregular triangle read by rows: strictly decreasing positive integer sequences in lexicographic order with the property that the sum of inverses is an integer. %H A272082 Peter Kagey, <a href="/A272082/b272082.txt">Table of n, a(n) for n = 1..4039</a> (All rows with first term less than or equal to 30.) %e A272082 First 8 rows: %e A272082 [1] because 1/1 is an integer %e A272082 [6, 3, 2] because 1/6 + 1/3 + 1/2 = 1. %e A272082 [6, 3, 2, 1] because 1/6 + 1/3 + 1/2 + 1/1 = 2. %e A272082 [12, 6, 4, 2] because 1/12 + 1/6 + 1/4 + 1/2 = 1. %e A272082 [12, 6, 4, 2, 1] because 1/12 + 1/6 + 1/4 + 1/2 + 1/1 = 2. %e A272082 [15, 10, 3, 2] because 1/15 + 1/10 + 1/3 + 1/2 = 1. %e A272082 [15, 10, 3, 2, 1] because 1/15 + 1/10 + 1/3 + 1/2 + 1/1 = 2. %e A272082 [15, 12, 10, 4, 2] because 1/15 + 1/12 + 1/10 + 1/4 + 1/2 = 1. %Y A272082 Cf. A272020, A272035, A272081, A272083. %K A272082 nonn,tabf %O A272082 1,2 %A A272082 _Peter Kagey_, Apr 19 2016