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 A119937 #11 Aug 28 2019 17:14:01 %S A119937 3,32,5,135,27,7,3456,756,256,81,3500,800,300,125,44,172800,40500, %T A119937 16000,7425,3456,1300,694575,165375,67375,33075,17199,8575,3375, %U A119937 6272000,1509200,627200,318500,175616,98000,51200 %N A119937 Triangle of numbers related to the spectrum of the hydrogen (H) atom. %C A119937 The rational number triangle r(m,n):=A120072(m,n)/A120073(m,n), used to compute the spectral series of the hydrogen atom, is mapped to this nonnegative number triangle by multiplying the least common multiples (LCM) for each row m. %H A119937 W. Lang: <a href="/A119937/a119937.txt">First ten rows.</a> %F A119937 a(m,n) = r(m,n)*lcm_{k=1..m-1} seq(r(m,k)) with r(m,n) = 1/n^2 - 1/m^2 = A120072(m,n)/A120073(m,n), m >= 2, n = 1..m-1. %e A119937 [3]; [32,5]; [135,27,7]; [3456,756,256,81]; [3500,800,300,125,44]; ... %Y A119937 The LCM sequence which has been used here is [4, 36, 144, 3600, 3600, 176400, 705600, 6350400, 6350400, 768398400, ...] = A051418(m) = (A003418(m))^2 = (2*A025555(m-1))^2, m >= 2. %Y A119937 The row sums give A119938. %K A119937 nonn,easy,tabl %O A119937 2,1 %A A119937 _Wolfdieter Lang_, Jul 20 2006