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.

A385550 E.g.f. A(x) satisfies A(x) = Sum_{k>=0} x^k/k! * A(-k*x).

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%I A385550 #9 Jul 03 2025 09:30:15
%S A385550 1,1,-1,-8,-3,516,235,-336258,-3909367,1462013704,28386802071,
%T A385550 -43272301150110,-3999150112115411,7064064858964289580,
%U A385550 1224799123758409303091,-6776368902478388538739274,-3903339581644484604889375215,32981625415507385681195122476432
%N A385550 E.g.f. A(x) satisfies A(x) = Sum_{k>=0} x^k/k! * A(-k*x).
%F A385550 a(0) = 1; a(n) = Sum_{k=0..n-1} (k-n)^k * binomial(n,k) * a(k).
%o A385550 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, (j-i)^j*binomial(i, j)*v[j+1])); v;
%Y A385550 Cf. A125281, A385546.
%Y A385550 Cf. A385551.
%K A385550 sign
%O A385550 0,4
%A A385550 _Seiichi Manyama_, Jul 03 2025