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 A367488 #9 Nov 20 2023 11:54:58 %S A367488 1,0,6,36,444,6540,119520,2593164,65233392,1867289868,59939612040, %T A367488 2132540249532,83293357351248,3543242182036284,163062595422642552, %U A367488 8071964230348189260,427682380939864204224,24149065480351703398572,1447640087400503974386504 %N A367488 Expansion of e.g.f. 1/(4 - 3*exp(x))^x. %F A367488 a(0) = 1; a(n) = Sum_{k=1..n} A367490(k) * binomial(n-1,k-1) * a(n-k). %o A367488 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*sum(k=1, j-1, 3^k*(k-1)!*stirling(j-1, k, 2))*binomial(i-1, j-1)*v[i-j+1])); v; %Y A367488 Cf. A032033, A367472, A367473. %Y A367488 Cf. A354413, A367486. %Y A367488 Cf. A367490. %K A367488 nonn %O A367488 0,3 %A A367488 _Seiichi Manyama_, Nov 19 2023