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 A174683 #14 Dec 13 2024 18:23:58 %S A174683 0,16,16,144,16,400,144,784,64,1296,400,1936,18,2704,784,3600,256, %T A174683 4624,1296,5776,50,7056,1936,8464,576,10000,2704,11664,49,13456,3600, %U A174683 15376,1024,17424,4624,19600,81,21904,5776,24336,1600,26896,7056,29584,242,32400,8464,35344,2304,38416 %N A174683 Denominator of 1/16 - 1/n^2. %C A174683 The value of a(n)=0 is substituted at the pole n=0. %C A174683 Extends the Bracket spectrum to negative quantum numbers in the fashion of A061038 (1/4-1/n^2) and A181759 (1/9-1/n^2). %H A174683 G. C. Greubel, <a href="/A174683/b174683.txt">Table of n, a(n) for n = 0..10000</a> %F A174683 a(n) = A061042(n), n>=4. %F A174683 a(n) = LCM[n^2 - 16, 16*n^2]/(n^2 - 16), for n>=5. - _G. C. Greubel_, Sep 16 2018 %t A174683 Table[If[n == 0, 0, If[n == 4, 16, Denominator[(n^2 - 16)/(4*n)^2]]], {n, 0, 100}] (* _G. C. Greubel_, Sep 16 2018 *) %t A174683 Table[Which[n==0,0,n==4,16,True,Denominator[(n^2-16)/(16n^2)]],{n,0,100}] (* _Harvey P. Dale_, Dec 13 2024 *) %o A174683 (PARI) for(n=0,100, print1(if(n==0,0, if(n==4,16, denominator((n^2 - 16)/(4*n)^2))), ", ")) \\ _G. C. Greubel_, Sep 16 2018 %Y A174683 Cf A174680 (numerators). %K A174683 nonn,easy,frac %O A174683 0,2 %A A174683 _Paul Curtz_, Nov 30 2010 %E A174683 Removed a(-4)-a(-1) since a(-n)=a(n) by _G. C. Greubel_, Sep 16 2018