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 A377743 #9 Nov 06 2024 04:37:43 %S A377743 1,4,43,853,25141,989581,48885187,2910389875,202958554057, %T A377743 16233163690537,1465257396236551,147359765665925143, %U A377743 16341437664329027389,1981169884084699982701,260701144663332062732491,37007345616327485166160651,5637148375602304430334748945,917186940500490837457393476817 %N A377743 E.g.f. satisfies A(x) = exp(x) / (1 - x * A(x))^3. %F A377743 a(n) = n! * Sum_{k=0..n} (k+1)^(n-k-1) * binomial(4*k+2,k)/(n-k)!. %o A377743 (PARI) a(n) = n!*sum(k=0, n, (k+1)^(n-k-1)*binomial(4*k+2, k)/(n-k)!); %Y A377743 Cf. A194471, A377742, A377744. %Y A377743 Cf. A373324, A377504. %K A377743 nonn %O A377743 0,2 %A A377743 _Seiichi Manyama_, Nov 06 2024