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%I #6 Apr 23 2022 16:23:19
%S 1,2,3,7,37,421,11401,742561,126789601,57620535841,77176334813761,
%T 312871409331687361,4015351220724380718721,
%U 177732121057271192821368961,25950973411086041656101953629441,14437779409379633175783004929078240001
%N E.g.f.: Sum_{n>=0} (1+x)^(n!)*x^n/n!.
%e E.g.f.: A(x) = 1 + 2*x + 3*x^2/2! + 7*x^3/3! + 37*x^4/4! + 421*x^5/5! + 11401*x^6/6! +...
%e A(x) = (1+x) + (1+x)*x + (1+x)^2*x^2/2! + (1+x)^6*x^3/3! + (1+x)^24*x^4/4! +...
%o (PARI) {a(n)=n!*polcoeff(sum(m=0,n,x^m*(1+x+x*O(x^n))^(m!)/m!),n)}
%K nonn
%O 0,2
%A _Paul D. Hanna_, Jan 12 2011
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