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 A159713 #15 Oct 26 2015 14:15:27 %S A159713 0,0,0,0,0,0,0,0,0,0,79360,3891712,108736512,2283154432,40155709440, %T A159713 625974681600,8946380963840,119830778347520,1527173964103680, %U A159713 18720292422287360,222492157815029760,2579416038567051264,29306002590306140160,327494389862875791360 %N A159713 Number of permutations of 1..n arranged in a circle with exactly 5 local maxima. %H A159713 Alois P. Heinz, <a href="/A159713/b159713.txt">Table of n, a(n) for n = 0..1000</a> %F A159713 G.f.: -512*(232243200*x^11 -1275402240*x^10 +2252081664*x^9 -2074564992*x^8 +1174193888*x^7 -439150208*x^6 +112057808*x^5 -19636984*x^4 +2325314*x^3 -177676*x^2 +7899*x -155)*x^10 / ((10*x-1)^2 *(8*x-1)^3 *(6*x-1)^4 *(4*x-1)^5 *(2*x-1)^6). - _Alois P. Heinz_, Oct 26 2015 %o A159713 (PARI) concat(vector(10), Vec(-512*(232243200*x^11 -1275402240*x^10 +2252081664*x^9 -2074564992*x^8 +1174193888*x^7 -439150208*x^6 +112057808*x^5 -19636984*x^4 +2325314*x^3 -177676*x^2 +7899*x -155)*x^10 / ((10*x-1)^2 *(8*x-1)^3 *(6*x-1)^4 *(4*x-1)^5 *(2*x-1)^6) + O(x^100))) \\ _Altug Alkan_, Oct 26 2015 %Y A159713 Column k=5 of A263789. %K A159713 nonn,easy %O A159713 0,11 %A A159713 _R. H. Hardin_, Apr 20 2009 %E A159713 a(16)-a(23) from _Alois P. Heinz_, Oct 26 2015