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 A306623 #21 Feb 28 2024 10:46:22
%S A306623 1,1,3,13,73,501,4051,37633,394353,4233673,51683491,684364341,
%T A306623 9755819833,148749428413,2411870539443,41369113878121,746931540551521,
%U A306623 14128241450715153,281805883597349443,5880463849670410333,128050607992266620841,2903233047048502113541
%N A306623 Expansion of e.g.f. exp(Sum_{k=1..8} x^k).
%H A306623 Seiichi Manyama, <a href="/A306623/b306623.txt">Table of n, a(n) for n = 0..469</a>
%F A306623 a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..min(8,n)} k*a(n-k)/(n-k)! for n > 0.
%t A306623 m=21; CoefficientList[Series[Exp[Sum[x^k, {k,1,8}]], {x, 0, m}], x] * Range[0,m]! (* _Amiram Eldar_, Mar 01 2019 *)
%o A306623 (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(sum(k=1, 8, x^k))))
%Y A306623 Column 8 of A293669.
%K A306623 nonn
%O A306623 0,3
%A A306623 _Seiichi Manyama_, Mar 01 2019