Search: id:A138293
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%I A138293
%S A138293 1,2,5,28,245,2816,40537,702976,14270153,332102656,8719631981,
%T A138293 255020847104,8222803663549,289815184113664,11085650268060929,
%U A138293 457386463819595776,20248713707077863953,957435459515190345728
%N A138293 E.g.f. satisfies: A(x) = x + exp(x*A(x)).
%F A138293 a(n) = n!*Sum_{k=0..floor((n+1)/2)} (n-2*k+1)^(n-k)/(k!*(n-2*k+1)!). 
               - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 15 2008
%e A138293 E.g.f: A(x) = 1 + 2*x + 5/2*x^2 + 14/3*x^3 + 245/24*x^4 + 352/15*x^5 
               +...
%e A138293 Log(A(x)-x) = x + 2*x^2 + 5/2*x^3 + 14/3*x^4 + 245/24*x^5 + 352/15*x^6 
               +...
%o A138293 (PARI) {a(n)=local(A=1);for(i=0,n,A=x+exp(x*A+x*O(x^n)));n!*polcoeff(A,
               n)}
%Y A138293 Sequence in context: A072371 A019043 A009635 this_sequence A068069 A105787 
               A110497
%Y A138293 Adjacent sequences: A138290 A138291 A138292 this_sequence A138294 A138295 
               A138296
%K A138293 nonn
%O A138293 0,2
%A A138293 Paul D. Hanna (pauldhanna(AT)juno.com), Mar 13 2008

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