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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.

A294043 a(n) = n! * [x^n] exp((1+x)^(n+1) - 1).

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%I A294043 #13 Aug 30 2025 11:22:01
%S A294043 1,2,15,232,6145,244296,13474699,978650240,90103113153,10217823306400,
%T A294043 1395459930700231,225409459306111488,42430679373064255585,
%U A294043 9192944371302603777152,2268432208238438936707875,631780778416973851617427456,197044925922469402512476724481
%N A294043 a(n) = n! * [x^n] exp((1+x)^(n+1) - 1).
%t A294043 Table[n!*SeriesCoefficient[E^((1+x)^(n+1) - 1),{x,0,n}], {n,0,20}] (* _Vaclav Kotesovec_, Aug 30 2025 *)
%Y A294043 Cf. A294003, A294045.
%Y A294043 A diagonal of A294042.
%K A294043 nonn,changed
%O A294043 0,2
%A A294043 _Seiichi Manyama_, Oct 22 2017