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 A324358 #7 Feb 24 2019 15:06:30 %S A324358 0,1,17,244,3455,50356,766943,12274858,206788751,3666278080, %T A324358 68339173319,1337340802942,27431518405607,588814390368244, %U A324358 13204430589422015,308877966133175746,7525275697320564383,190678032594396773128,5017985343328106906711,136977444553573371090790 %N A324358 Total number of occurrences of 8 in the (signed) displacement sets of all permutations of [n+8] divided by 8!. %H A324358 Alois P. Heinz, <a href="/A324358/b324358.txt">Table of n, a(n) for n = 0..443</a> %H A324358 Wikipedia, <a href="https://en.wikipedia.org/wiki/Permutation">Permutation</a> %F A324358 E.g.f.: (1-exp(-x))/(1-x)^9. %F A324358 a(n) = -1/8! * Sum_{j=1..n} (-1)^j * binomial(n,j) * (n+8-j)!. %F A324358 a(n) = A306234(n+8,8). %p A324358 a:= n-> (k-> -add((-1)^j*binomial(n, j)*(n+k-j)!, j=1..n)/k!)(8): %p A324358 seq(a(n), n=0..23); %Y A324358 Column k=8 of A324362. %Y A324358 Cf. A306234. %K A324358 nonn %O A324358 0,3 %A A324358 _Alois P. Heinz_, Feb 23 2019