cp's OEIS Frontend

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.

A324358 Total number of occurrences of 8 in the (signed) displacement sets of all permutations of [n+8] divided by 8!.

This page as a plain text file.
%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