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 A371299 #9 Mar 18 2024 09:52:18 %S A371299 1,1,8,128,3128,103464,4327376,219132416,13037220864,891482661120, %T A371299 68898795919872,5939542370104320,565085390314014720, %U A371299 58814874313859198976,6647869870080852418560,810941992663677532667904,106188636284967568536207360,14856670240947944840012857344 %N A371299 E.g.f. satisfies A(x) = 1/(1 + log(1 - 2*x*A(x)^2) / 2). %F A371299 a(n) = (1/(2*n+1)!) * Sum_{k=0..n} 2^(n-k) * (2*n+k)! * |Stirling1(n,k)|. %o A371299 (PARI) a(n) = sum(k=0, n, 2^(n-k)*(2*n+k)!*abs(stirling(n, k, 1)))/(2*n+1)!; %Y A371299 Cf. A227917, A370938. %Y A371299 Cf. A371297. %K A371299 nonn %O A371299 0,3 %A A371299 _Seiichi Manyama_, Mar 18 2024