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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.

A324355 Total number of occurrences of 5 in the (signed) displacement sets of all permutations of [n+5] divided by 5!.

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%I A324355 #10 May 03 2021 08:21:51
%S A324355 0,1,11,109,1115,12151,142205,1788361,24118967,347811859,5345895929,
%T A324355 87298986325,1510075068419,27590646911023,531082929791861,
%U A324355 10743610293871681,227906995674679535,5059315590877577131,117308151182930808977,2835988521500605314829
%N A324355 Total number of occurrences of 5 in the (signed) displacement sets of all permutations of [n+5] divided by 5!.
%H A324355 Alois P. Heinz, <a href="/A324355/b324355.txt">Table of n, a(n) for n = 0..445</a>
%H A324355 Wikipedia, <a href="https://en.wikipedia.org/wiki/Permutation">Permutation</a>
%F A324355 E.g.f.: (1-exp(-x))/(1-x)^6.
%F A324355 a(n) = -1/5! * Sum_{j=1..n} (-1)^j * binomial(n,j) * (n+5-j)!.
%F A324355 a(n) = A306234(n+5,5).
%p A324355 a:= n-> (k-> -add((-1)^j*binomial(n, j)*(n+k-j)!, j=1..n)/k!)(5):
%p A324355 seq(a(n), n=0..23);
%t A324355 m = 23;
%t A324355 CoefficientList[(1-Exp[-x])/(1-x)^6 + O[x]^(m+1), x]*Range[0, m]! (* _Jean-François Alcover_, May 03 2021 *)
%Y A324355 Column k=5 of A324362.
%Y A324355 Cf. A306234.
%K A324355 nonn
%O A324355 0,3
%A A324355 _Alois P. Heinz_, Feb 23 2019