%I A059099
%S A059099 1,2,7,33,198,1453,12669,128320,1482721,19260421,277913552,4410640919,
%T A059099 76360030701,1432144732762,28926138244883,625974400305541,
%U A059099 14449445989893990,354384475357492593,9202837263156670345
%N A059099 Expansion of exp(exp(x)-1)/(2-exp(x)).
%F A059099 a(n)=Sum_{m=0..n} Sum_{i=0..n} stirling2(n, i)*Product_{j=1..m} (i-j+1).
%F A059099 Stirling transform of A000522. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               May 10 2004
%e A059099 exp(exp(x)-1)/(2-exp(x)) = 1 + 2*x + 7/2*x^2 + 11/2*x^3 + 33/4*x^4 + 
               1453/120*x^5 + 4223/240*x^6 + 1604/63*x^7 + ...
%p A059099 s := series(exp(exp(x)-1)/(2-exp(x)), x, 60): for i from 0 to 50 do printf(`%d,
               `,i!*coeff(s,x,i)) od:
%Y A059099 Row sums of A059098. Cf. A001861, A000110, A005493, A049020.
%Y A059099 Sequence in context: A104981 A058797 A006595 this_sequence A020103 A014623 
               A144005
%Y A059099 Adjacent sequences: A059096 A059097 A059098 this_sequence A059100 A059101 
               A059102
%K A059099 easy,nonn
%O A059099 0,2
%A A059099 Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2001
%E A059099 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 03 2001