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 A293040 #23 Nov 21 2020 07:21:11
%S A293040 1,0,0,0,0,-1,-1,-1,-1,-1,125,461,1253,3002,6720,-111684,-978758,
%T A293040 -5246983,-22948029,-89534309,164027151,5722510249,55413784239,
%U A293040 393256686307,2377996545081,7807749195198,-46231762188586,-1125536160278906,-12849721017510166
%N A293040 E.g.f.: exp(1 + x + x^2/2! + x^3/3! + x^4/4! - exp(x)).
%H A293040 Seiichi Manyama, <a href="/A293040/b293040.txt">Table of n, a(n) for n = 0..593</a>
%F A293040 a(0) = 1; a(n) = -Sum_{k=5..n} binomial(n-1,k-1) * a(n-k). - _Ilya Gutkovskiy_, Nov 20 2020
%p A293040 seq(factorial(n)*coeftayl(exp(1+x+x^2/2!+x^3/3!+x^4/4!-exp(x)), x = 0, n),n=0..50); # _Muniru A Asiru_, Oct 06 2017
%o A293040 (PARI) my(x='x+O('x^66)); Vec(serlaplace(exp(-exp(x)+1+x+x^2/2+x^3/6+x^4/24)))
%Y A293040 Column k=4 of A293051.
%Y A293040 Cf. A000587 (k=0), A293037 (k=1), A293038 (k=2), A293039 (k=3), this sequence (k=4).
%Y A293040 Cf. A057814.
%K A293040 sign
%O A293040 0,11
%A A293040 _Seiichi Manyama_, Sep 28 2017