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 A385426 #12 Jun 28 2025 08:45:57 %S A385426 1,1,3,17,145,1665,24115,422305,8681985,205042625,5471351875, %T A385426 162811832625,5345929731025,192007183247425,7488448738333875, %U A385426 315170338129570625,14238153926819850625,687220571240324330625,35293921478604240911875,1921751625123502012140625 %N A385426 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-arcsin(x)) ). %F A385426 E.g.f. A(x) satisfies A(x) = exp( arcsin(x*A(x)) ). %F A385426 a(n) = Sum_{k=0..n} (n+1)^(k-1) * A385343(n,k). %o A385426 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*exp(-asin(x)))/x)) %Y A385426 Cf. A385424, A385427. %Y A385426 Cf. A001147, A381145, A227464, A385343. %K A385426 nonn %O A385426 0,3 %A A385426 _Seiichi Manyama_, Jun 28 2025