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 A332561 #17 Apr 24 2021 12:27:15
%S A332561 20,20,10,105,1512,27720,4620,660,144144,16016,5445440,495040,
%T A332561 12697776,976752,69768,823727520,51482970,3028410,168245,8855,
%U A332561 159845400,5768642880,262211040,11400480,475020,543814622208,20915947008,774664704,941432800
%N A332561 a(n) = A332560(n)/A332559(n).
%H A332561 Jinyuan Wang, <a href="/A332561/b332561.txt">Table of n, a(n) for n = 1..10000</a>
%H A332561 J. S. Myers, R. Schroeppel, S. R. Shannon, N. J. A. Sloane, and P. Zimmermann, <a href="http://arxiv.org/abs/2004.14000">Three Cousins of Recaman's Sequence</a>, arXiv:2004:14000 [math.NT], April 2020.
%o A332561 (PARI) A332558(n) = {my(r=n*(n+1)); for(k=2, oo, r=r*(n+k); if(r%(n+k+1)==0, return(k))); }
%o A332561 a(n) = {my(s=A332558(n)+n); s!/(n-1)!/(s+1); } \\ _Jinyuan Wang_, Feb 25 2020
%Y A332561 Cf. A061836, A332558, A332559, A332560.
%K A332561 nonn,look
%O A332561 1,1
%A A332561 _Scott R. Shannon_ and _N. J. A. Sloane_, Feb 24 2020