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 A151579 #7 May 06 2020 01:37:49
%S A151579 0,7,960,38637,882340,14413894,188690976,2112659718,21078701112,
%T A151579 192648942945,1644431982848,13295963811083,102911255502876,
%U A151579 768689550213368,5575887557096640,39473882067826332,273820542615005232,1867156445048432043,12548621876834960064
%N A151579 Number of permutations of 1..n arranged in a circle with exactly 6 adjacent element pairs in decreasing order.
%H A151579 Andrew Howroyd, <a href="/A151579/b151579.txt">Table of n, a(n) for n = 6..500</a>
%F A151579 From _Andrew Howroyd_, May 05 2020: (Start)
%F A151579 a(n) = n*A000514(n-1).
%F A151579 a(n) = n*(6^(n-1) - n*5^(n-1) + binomial(n,2)*4^(n-1) - binomial(n,3)*3^(n-1) + binomial(n,4)*2^(n-1) - binomial(n,5)). (End)
%o A151579 (PARI) a(n) = {n*(6^(n-1) - n*5^(n-1) + binomial(n,2)*4^(n-1) - binomial(n,3)*3^(n-1) + binomial(n,4)*2^(n-1) - binomial(n,5))} \\ _Andrew Howroyd_, May 05 2020
%Y A151579 Column k=6 of A334218.
%Y A151579 Cf. A000514.
%K A151579 nonn
%O A151579 6,2
%A A151579 _R. H. Hardin_, May 21 2009
%E A151579 Terms a(17) and beyond from _Andrew Howroyd_, May 05 2020