A365438 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^2)/A(x).
1, 1, 3, 20, 216, 3214, 60940, 1405088, 38165904, 1193631360, 42244603368, 1669171435392, 72834612333120, 3478615044283872, 180496518526631424, 10110668949900238848, 608110470593816945664, 39086875354688578492416, 2673826803093451383429120
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=0, n, (2*n-k)!/(2*n-2*k+1)!*abs(stirling(n, k, 1)));
Formula
a(n) = Sum_{k=0..n} (2*n-k)!/(2*n-2*k+1)! * |Stirling1(n,k)|.