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 A377717 #8 Nov 05 2024 08:11:37 %S A377717 1,3,27,405,8703,245493,8608167,361640205,17727268383,993980112453, %T A377717 62774530115607,4410751512076605,341353603094403663, %U A377717 28856102576884010613,2645807719152819131847,261551674681092859354605,27732033282190658330940543,3139533157528775981685527973 %N A377717 E.g.f. satisfies A(x) = (1 + (exp(x) - 1) * A(x))^3. %F A377717 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A367161. %F A377717 a(n) = 3 * Sum_{k=0..n} (3*k+2)!/(2*k+3)! * Stirling2(n,k). %o A377717 (PARI) a(n) = 3*sum(k=0, n, (3*k+2)!/(2*k+3)!*stirling(n, k, 2)); %Y A377717 Cf. A000670, A377716. %Y A377717 Cf. A367161, A377693. %K A377717 nonn %O A377717 0,2 %A A377717 _Seiichi Manyama_, Nov 04 2024