Search: id:A158876
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%I A158876
%S A158876 1,1,3,19,217,4041,113611,4532683,244208049,17085010897,1504881245971,
%T A158876 162835665686211,21219897528855433,3276502399914104089,
%U A158876 591351260856215820507,123322423833602768272891
%N A158876 E.g.f.: exp( Sum_{n>=1} (n-1)!*x^n ).
%F A158876 a(n) = (n-1)!*Sum_{k=1..n} k!*a(n-k)/(n-k)! for n>0 with a(0)=1.
%e A158876 E.g.f.: A(x) = 1 + x + 3*x^2/2! + 19*x^3/3! + 217*x^4/4! +...
%e A158876 log(A(x)) = x + x^2 + 2!*x^3 + 3!*x^4 +...+ (n-1)!*x^n +....
%o A158876 (PARI) {a(n)=if(n==0,1,(n-1)!*sum(k=1,n,k!*a(n-k)/(n-k)!))}
%o A158876 (PARI) {a(n)=n!*polcoeff(exp(sum(k=1,n,(k-1)!*x^k)+x*O(x^n)),n)}
%Y A158876 Cf. A000142, A122949.
%Y A158876 Sequence in context: A074707 A135749 A005647 this_sequence A001833 A001035 
               A166380
%Y A158876 Adjacent sequences: A158873 A158874 A158875 this_sequence A158877 A158878 
               A158879
%K A158876 nonn
%O A158876 0,3
%A A158876 Paul D. Hanna (pauldhanna(AT)juno.com), Apr 13 2009

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