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A080834
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E.g.f. exp( x/(1 - x - x^2) ) / (1 - x - x^2).
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0
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1, 2, 9, 58, 485, 4986, 60517, 846434, 13384233, 235915570, 4583337761, 97257637962, 2237249019469, 55438067438378, 1471848284860605, 41673308546595826, 1253228243522934737, 39886741017817705314
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OFFSET
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0,2
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LINKS
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FORMULA
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E.g.f.: exp(x/(1-x-x^2))/(1-x-x^2).
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
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
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MATHEMATICA
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CoefficientList[Series[E^(x/(1-x-x^2))/(1-x-x^2), {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Sep 29 2013 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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