%I A096537
%S A096537 1,1,5,61,1377,49721,2625313,190735749,18246616321,2223115264945,
%T A096537 336071395603521,61725395919953789,13537971184957280449,
%U A096537 3494778862390292571849,1048886507411306132337889
%N A096537 E.g.f.: A(x) = exp(x*exp(2*x*exp(3*x*exp(...exp(n*x*exp(...))...)))), 
               for n>=1.
%F A096537 Row sums of triangle A096542; also a(n) = A096542(n+1, 1)/(n+1) for n>
               =0.
%e A096537 A(x) = 1 + 1*x + 5*x^2/2! + 61*x^3/3! + 1377*x^4/4! + 49721*x^5/5! +...
%o A096537 (PARI) a(n)=local(A=exp(x));for(i=1,n,A=exp(x*(n-i+1)*A+x*O(x^n)));n!*polcoeff(A,
               n)
%Y A096537 Cf. A096542.
%Y A096537 Sequence in context: A083082 A009825 A065919 this_sequence A115047 A028296 
               A000364
%Y A096537 Adjacent sequences: A096534 A096535 A096536 this_sequence A096538 A096539 
               A096540
%K A096537 nonn
%O A096537 0,3
%A A096537 Paul D. Hanna (pauldhanna(AT)juno.com), Jun 24 2004