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 A363908 #8 Jun 27 2023 11:44:52
%S A363908 1,5,30,225,2075,22500,276875,3790625,57050000,934984375,16549046875,
%T A363908 314146406250,6358972578125,136603266015625,3101556258593750,
%U A363908 74164388642578125,1861859526474609375,48936176077929687500,1343302192888037109375,38425435693841064453125,1143143051078878906250000
%N A363908 a(n) = exp(-1/5) * Sum_{k>=0} (5*k + 4)^n / (5^k * k!).
%H A363908 Michael De Vlieger, <a href="/A363908/b363908.txt">Table of n, a(n) for n = 0..450</a>
%H A363908 Adam Buck, Jennifer Elder, Azia A. Figueroa, Pamela E. Harris, Kimberly Harry, and Anthony Simpson, <a href="https://arxiv.org/abs/2306.13034">Flattened Stirling Permutations</a>, arXiv:2306.13034 [math.CO], 2023. See p. 14.
%t A363908 CoefficientList[Series[Exp[4 x + (Exp[5 x] - 1)/5], {x, 0, #}], x]* Range[0, #]! &[21]
%Y A363908 Cf. A007405, A050488, A355164, A355167.
%K A363908 nonn
%O A363908 0,2
%A A363908 _Michael De Vlieger_, Jun 27 2023