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A367153
E.g.f. satisfies A(x) = 2 - exp(-x*A(x)^2).
3
1, 1, 3, 13, 55, -59, -8869, -230019, -4735569, -81845819, -925266221, 11304277117, 1342388191079, 64570153427781, 2378028350945547, 68237841920780221, 1044508709568828511, -45901762542718407035, -5887687395597254917885, -396339747040666473203907
OFFSET
0,3
FORMULA
a(n) = (2*n)! * Sum_{k=0..n} (-1)^(n-k) * Stirling2(n,k)/(2*n-k+1)!.
PROG
(PARI) a(n) = (2*n)!*sum(k=0, n, (-1)^(n-k)*stirling(n, k, 2)/(2*n-k+1)!);
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Nov 07 2023
STATUS
approved