cp's OEIS Frontend

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.

A379875 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)) + x.

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%I A379875 #15 Jan 12 2025 19:50:54
%S A379875 1,0,1,-4,29,-256,2797,-36352,549145,-9468928,183661721,-3960254464,
%T A379875 94011364405,-2436944723968,68503370394565,-2075866971897856,
%U A379875 67464214813124273,-2340885649895194624,86377064031382020913,-3377541983440381935616,139515670016074334382541
%N A379875 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)) + x.
%F A379875 a(n) = n! * Sum_{k=0..n} (-n+2*k-1)^(n-k) * binomial(n-k+1,k)/( (n-k+1)*(n-k)! ).
%o A379875 (PARI) a(n) = n!*sum(k=0, n, (-n+2*k-1)^(n-k)*binomial(n-k+1, k)/((n-k+1)*(n-k)!));
%Y A379875 Cf. A377859, A379876.
%K A379875 sign
%O A379875 0,4
%A A379875 _Seiichi Manyama_, Jan 05 2025