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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.

A380029 Expansion of e.g.f. (1 - 3*x*exp(x))^(1/3).

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%I A380029 #9 Jan 10 2025 10:09:59
%S A380029 1,-1,-4,-25,-252,-3545,-63806,-1397781,-36069272,-1071165745,
%T A380029 -35977484250,-1348257912221,-55766033179220,-2523251585908521,
%U A380029 -123972318738063446,-6572554273909419685,-373979858167243433136,-22731929051273411113313,-1470009560015441800798514
%N A380029 Expansion of e.g.f. (1 - 3*x*exp(x))^(1/3).
%F A380029 a(n) = n! * Sum_{k=0..n} (-3)^k * k^(n-k) * binomial(1/3,k)/(n-k)!.
%o A380029 (PARI) a(n) = n!*sum(k=0, n, (-3)^k*k^(n-k)*binomial(1/3, k)/(n-k)!);
%Y A380029 Cf. A004990, A380017, A380030.
%K A380029 sign,easy
%O A380029 0,3
%A A380029 _Seiichi Manyama_, Jan 09 2025