%I A112243
%S A112243 1,1,7,55,577,7441,113671,2003527,39971905,889608097,21834577351,
%T A112243 585555975511,17027451783937,533460597334705,17908302027585607,
%U A112243 641152804988733031,24380543011087797121,981149507717921468737
%N A112243 Expansion of exp(x(1+x)/(1-2x)).
%C A112243 In general, e.g.f. exp(x(1+ax)/(1-bx)) has general term sum{i=0..n, sum{j=0..n, 
               a^j*b^(n-i-j)*C(i,j)C(n-j-1,n-i-j)*n!/i!}}.
%F A112243 E.g.f.: exp(x(1+x)/(1-2x); a(n)=sum{i=0..n, sum{j=0..n, 2^(n-i-j)*C(i, 
               j)C(n-j-1, n-i-j)*n!/i!}};
%Y A112243 Sequence in context: A091695 A002882 A094905 this_sequence A083836 A159313 
               A054910
%Y A112243 Adjacent sequences: A112240 A112241 A112242 this_sequence A112244 A112245 
               A112246
%K A112243 easy,nonn
%O A112243 0,3
%A A112243 Paul Barry (pbarry(AT)wit.ie), Aug 29 2005