%I #10 Aug 20 2021 07:08:19
%S 1,2,9,58,485,4986,60517,846434,13384233,235915570,4583337761,
%T 97257637962,2237249019469,55438067438378,1471848284860605,
%U 41673308546595826,1253228243522934737,39886741017817705314
%N E.g.f. exp( x/(1 - x - x^2) ) / (1 - x - x^2).
%F E.g.f.: exp(x/(1-x-x^2))/(1-x-x^2).
%F D-finite with recurrence a(n) = 2*n*a(n-1) + (n-1)^2*a(n-2) - 2*(n-2)^2*(n-1)*a(n-3) - (n-3)*(n-2)^2*(n-1)*a(n-4). - _Vaclav Kotesovec_, Sep 29 2013
%F a(n) ~ 5^(-3/8)*sqrt(7+3*sqrt(5))/2 * ((1+sqrt(5))/2)^(n-1)* exp(2*sqrt(n)/5^(1/4)-n-1/10) * n^(n+1/4) * (1 + sqrt(-73/600 + 293329/(288000*sqrt(5)))/sqrt(n)). - _Vaclav Kotesovec_, Sep 29 2013
%t CoefficientList[Series[E^(x/(1-x-x^2))/(1-x-x^2), {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Sep 29 2013 *)
%K easy,nonn
%O 0,2
%A _Emanuele Munarini_, Mar 28 2003
|