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A233338
E.g.f. satisfies: A(x) = exp( A(x) * Integral A(-x) dx ).
0
1, 1, 2, 9, 53, 464, 4687, 61479, 886258, 15524575, 291505295, 6394185264, 148118036273, 3904856867873, 107649269291290, 3315317751482457, 106031435475881053, 3736096118740095232, 136008862573108676543, 5396412601537476189351, 220341893750220550211546, 9721518437451024623900879
OFFSET
0,3
EXAMPLE
E.g.f.: A(x) = 1 + x + 2*x^2/2! + 9*x^3/3! + 53*x^4/4! + 464*x^5/5! + 4687*x^6/6! +...
Related expansions.
log(A(x)) = x + x^2/2! + 5*x^3/3! + 23*x^4/4! + 223*x^5/5! + 1933*x^6/6! +...
log(A(x))/A(x) = x - x^2/2! + 2*x^3/3! - 9*x^4/4! + 53*x^5/5! - 464*x^6/6! +...
PROG
(PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(A*intformal(subst(A, x, -x)+x*O(x^n)))); n!*polcoeff(A, n)}
for(n=0, 30, print1(a(n), ", "))
CROSSREFS
Sequence in context: A351815 A231493 A218945 * A360454 A073986 A223943
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Dec 07 2013
STATUS
approved