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 A377545 #8 Nov 01 2024 09:29:59 %S A377545 1,3,18,195,3108,65595,1730538,54891165,2036187576,86536398195, %T A377545 4147191867630,221314773837333,13017260705093604,836754118106509083, %U A377545 58364080427471191506,4390560359156841730605,354356981533262814367728,30543768949098926368973667,2800395449868306713606542422 %N A377545 E.g.f. satisfies A(x) = 1/(1 - x * exp(x*A(x)))^3. %F A377545 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A364981. %F A377545 a(n) = 3 * n! * Sum_{k=0..n} k^(n-k) * binomial(3*n-2*k+3,k)/( (3*n-2*k+3)*(n-k)! ). %o A377545 (PARI) a(n) = 3*n!*sum(k=0, n, k^(n-k)*binomial(3*n-2*k+3, k)/((3*n-2*k+3)*(n-k)!)); %Y A377545 Cf. A161633, A377541, A377551. %Y A377545 Cf. A364981. %K A377545 nonn %O A377545 0,2 %A A377545 _Seiichi Manyama_, Oct 31 2024