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 A362672 #10 Feb 16 2025 08:34:05 %S A362672 1,1,-3,37,-679,17161,-553451,21731053,-1006118863,53671172113, %T A362672 -3241671266899,218677223408821,-16296163119155063, %U A362672 1329568681331536153,-117874745761237043515,11283758432396431997821,-1159952212029532257663391,127445385808282289840496673 %N A362672 E.g.f. satisfies A(x) = exp( x * exp(x) / A(x)^3 ). %H A362672 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>. %F A362672 E.g.f.: exp( LambertW(3*x * exp(x))/3 ). %F A362672 a(n) = Sum_{k=0..n} k^(n-k) * (-3*k+1)^(k-1) * binomial(n,k). %o A362672 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(lambertw(3*x*exp(x))/3))) %Y A362672 Cf. A273954, A360473, A362656, A362671. %K A362672 sign %O A362672 0,3 %A A362672 _Seiichi Manyama_, Apr 29 2023