OFFSET
0,2
FORMULA
EXAMPLE
E.g.f.: A(x) = 1 + 2*x + 6*x^2/2! + 26*x^3/3! + 146*x^4/4! + 1014*x^5/5! + ...
MATHEMATICA
CoefficientList[Simplify[Assuming[Element[x, Reals], Series[LambertW[-1, (4*x - 3)*E^(-3)]/(4*x - 3), {x, 0, 20}]]], x] * Range[0, 20]!
PROG
(PARI) {a(n)=my(A = 1+2*x); for(i=1, n, A = exp(2/sqrt(A)*intformal(A^(3/2) + x*O(x^n)))); n!*polcoeff(A, n)}
for(n=0, 20, print1(a(n), ", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Mar 06 2020
STATUS
approved