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 A383990 #24 May 28 2025 09:19:48 %S A383990 0,1,-3,19,-191,2661,-47579,1040047,-26888511,802727209,-27178685459, %T A383990 1029077910411,-43086906080063,1976633329627789,-98597207392040811, %U A383990 5313105048925173991,-307587436319162110079,19038773384213189214417,-1254686724727364725716131 %N A383990 Series expansion of the exponential generating function exp(-dend(-x))-1 where dend(x) = (1 - sqrt(1+4*x)) / (2*x) + 1 (given by A000108). %C A383990 The series -dend(-x) is the inverse for the substitution of the series dias(x), given by the suspension of the Koszul dual of dias. - _Bérénice Delcroix-Oger_, May 28 2025 %H A383990 Bérénice Delcroix-Oger and Clément Dupont, <a href="https://arxiv.org/abs/2505.06094">Lie-operads and operadic modules from poset cohomology</a>, arXiv:2505.06094 [math.CO], 2025. See p. 32, Table 3, diassociative operad "Dias". %Y A383990 Cf. A003725, A006531, A097388, A111884, A112242, A177885, A318215, A383991, A383992, A383993, A383994, A383995. Composition of exp(x)-1 with -A000108(-x). %K A383990 sign %O A383990 0,3 %A A383990 _Michael De Vlieger_, May 16 2025