A379884 E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^2) - x).
1, 2, 15, 223, 5045, 154161, 5949715, 277816813, 15234148585, 959821848433, 68333878996991, 5425649143910733, 475370226250388221, 45559752911807595865, 4741534923025152367627, 532526268840445510805341, 64198018232238090097818065, 8268729272698380485865553761
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(n+k+1, n-k)/k!);
Formula
a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(n+k+1,n-k)/k!.