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 A337554 #9 Sep 01 2020 03:35:13 %S A337554 1,1,8,53,560,6961,105898,1867393,37713620,856269401,21606253238, %T A337554 599664843433,18156702186880,595557844417441,21037627605306578, %U A337554 796218790808110673,32143778726932363340,1378765268603813275081,62619174356163136219918,3001963660666272082265113 %N A337554 a(0) = 1; a(n) = Sum_{k=1..n} binomial(n,k) * (5*k-4) * a(n-k). %F A337554 E.g.f.: 1 / (exp(x) * (4 - 5*x) - 3). %F A337554 a(n) ~ n! * c / (3*(1-c) * (4/5 - c)^(n+1)), where c = -LambertW(-3*exp(-4/5)/5). - _Vaclav Kotesovec_, Aug 31 2020 %t A337554 a[0] = 1; a[n_] := a[n] = Sum[Binomial[n, k] (5 k - 4) a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 19}] %t A337554 nmax = 19; CoefficientList[Series[1/(Exp[x] (4 - 5 x) - 3), {x, 0, nmax}], x] Range[0, nmax]! %o A337554 (PARI) seq(n)={Vec(serlaplace(1 / (exp(x + O(x*x^n)) * (4 - 5*x) - 3)))} \\ _Andrew Howroyd_, Aug 31 2020 %Y A337554 Cf. A000354, A001908, A337552, A337553. %K A337554 nonn %O A337554 0,3 %A A337554 _Ilya Gutkovskiy_, Aug 31 2020