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 A330620 #9 Jan 09 2020 19:36:43 %S A330620 0,1,2,10,54,392,3378,34120,393738,5112406,73756026,1170482186, %T A330620 20263782630,380047964920,7676106365966,166114208828980, %U A330620 3834434324386350,94042629535109500,2442147034719168714,66942194906112161302,1931543452345335094678,58519191359163454708564 %N A330620 Number of length n necklaces with entries covering an initial interval of positive integers and no adjacent entries equal. %H A330620 Andrew Howroyd, <a href="/A330620/b330620.txt">Table of n, a(n) for n = 1..200</a> %e A330620 Case n=4: there are the following 10 necklaces: %e A330620 1212, %e A330620 1213, 1232, 1323, %e A330620 1234, 1243, 1324, 1342, 1423, 1432. %o A330620 (PARI) \\ here U(n, k) is A208535(n, k) for n > 1. %o A330620 U(n, k)={sumdiv(n, d, eulerphi(n/d)*(k-1)^d)/n - if(n%2, k-1)} %o A330620 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 A330620 Row sums of A330618. %Y A330620 Cf. A019536, A208535. %K A330620 nonn %O A330620 1,3 %A A330620 _Andrew Howroyd_, Dec 20 2019