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 A330621 #9 Jan 09 2020 19:28:44 %S A330621 0,1,1,7,27,207,1689,17137,196869,2556856,36878013,585247590, %T A330621 10131891315,190024056601,3838053182983,83057105368627, %U A330621 1917217162193175,47021314781221603,1221073517359584357,33471097453271690668,965771726172667547339,29259595679585441629303 %N A330621 Number of length n bracelets with entries covering an initial interval of positive integers and no adjacent entries equal. %H A330621 Andrew Howroyd, <a href="/A330621/b330621.txt">Table of n, a(n) for n = 1..200</a> %e A330621 Case n=4: there are the following 7 bracelets: %e A330621 1212, %e A330621 1213, 1232, 1323, %e A330621 1234, 1243, 1324. %o A330621 (PARI) \\ here U(n, k) is A208544(n, k) for n > 1. %o A330621 U(n, k) = (sumdiv(n, d, eulerphi(n/d)*(k-1)^d)/n + if(n%2, 1-k, k*(k-1)^(n/2)/2))/2; %o A330621 a(n)={if(n<1, n==0, sum(j=1, n, U(n,j)*sum(k=j, n, (-1)^(k-j)*binomial(k, j))))} %Y A330621 Row sums of A330341. %Y A330621 Cf. A208544. %K A330621 nonn %O A330621 1,4 %A A330621 _Andrew Howroyd_, Dec 20 2019