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 A372698 #24 May 12 2024 10:04:00 %S A372698 0,1,1,3,15,103,882,8913,103227,1359162,20445228,349712568,6547495464, %T A372698 126821768922,2557843463769,63897480940509,2095074190660212, %U A372698 53541090460596240,-326496349115947710,-34640510429479259916,9272999532484623258036 %N A372698 E.g.f. A(x) satisfies A(A(A(x))) = (-1/3) * log(1 - 3*x). %F A372698 Define the sequence b(n,m) as follows. If n<m, b(n,m) = 0, else if n=m, b(n,m) = 1, otherwise b(n,m) = 1/3 * ( 3^(n-m) * |Stirling1(n,m)| - Sum_{l=m+1..n-1} (b(n,l) + Sum_{k=l..n} b(n,k) * b(k,l)) * b(l,m) ). a(n) = b(n,1). %Y A372698 Cf. A209519, A220112, A372747. %K A372698 sign %O A372698 0,4 %A A372698 _Seiichi Manyama_, May 11 2024